The 31-year-old Sharapova, who has won two of her five Grand Slam titles in Paris, easily handled the big serve of No. 6-seeded Karolina Pliskova, overwhelming her for a 6-2, 6-1 win to reach the fourth round for the 12th time in 14 appearances at the clay-court major.
In her next presentation, Sharapova, champion of five Grand Slam tournaments, will face the victor of the match between famous American Serena Williams and German Julia Georges.
Serena Williams will look to continue her march towards what could be potentially the most startling and impressive of all her many triumphs when she takes on 11th seed Julia Goerges.
She had some problems in her initial two outings in Paris, including in the second round, when she dropped the first set against 17th-seeded Ashleigh Barty before as Williams herself put it Serena came out.. Sharapova attributed Williams' fierce 19-2 head-to-head record against her to the Russian's upset win over Williams in the Wimbledon final back in 2004.
"I think any time you play against Serena you know what you're up against", said Sharapova, seeded 28th here. "I'm just going to go out there and enjoy myself".
About the forthcoming match, Williams said Sharapova has the advantage because she's been on the comeback trail longer and she has such a good history at the French Open.
Her net worth was valued at $285 million by Forbes previous year while, according The Richlist, Williams's financial assets were estimated at $170 million.
That was part of a surge in which Williams claimed seven points in a row and never really looked back.More news: Denmark passes law banning face veil in public spaces
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While Sharapova has spoken in the past of her struggles against Williams, who she has beaten only twice on the WTA Tour, she is in confident mood after a fine start to her campaign in Paris.
On Saturday, Williams called the idea that she had been in tears after a loss normal and added, "I didn't expect to be reading a book about me that wasn't necessarily true".
"The book was a lot about me".
"It's either play doubles or practice for two hours, so I'd rather play doubles", Serena told Christopher Clarey of the New York Times last week.
"Quite frankly, she's probably a favorite in this match, for sure".
"There is a lot of things in her game that she's done much better than I have", Sharapova said. Former champion Garbine Muguruza reached the last 16 for the fifth successive year with a comfortable 6-0, 6-2 win over Australia's Sam Stosur. Williams recently opened an online shop for her clothing line; Sharapova has a candy company. She loves to play here.
Williams, who returned to tennis in March, was asked about her chances at Roland Garros - a tournament she last won in 2015.
The 38th-ranked Khachanov has made it to the fourth round both times he played at Roland Garros, his best showing at any Grand Slam tournament.
Not to be outdone, Serena opened the doors to HBO for a four-part mini-series, "Being Serena", focusing on her homelife and return to action after the birth of daughter Olympia.