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The tournament Number One seed dispatched Georges in a 6-1, 6-1 straight set demolition that only took 55 minutes. Serena takes on Russia's Anastasia Pavlyuchenkova in her third round singles match.
Meanwhile tournament Number Two seeded Big Sis took out Spain's Arantxa Perra Santonia 6-2, 6-4 on Tuesday and beat Dominika Cibulkova of Slovakia 6-3, 6-4 in her third round match to advance to the fourth round of the French Open singles draw.
Their next doubles match has the number one doubles seeds taking on the Czech Republic's Daniela Hantchuova and Caroline Wozniacki of Denmark.