Mughal Empire
The medieval Hindu ruler who was a contemporary of Akbar, and took the title of Vikramaditya was

Sadasiva Raya (of Vijayanagar)
Raja Man Singh (of Amber)
Hemachandra (Hemu)
Rana Pratap (of Mewar)

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Mughal Empire
Akbar founded the Din-i-Ilahi primarily to

Found a religious institution
Establish a national religion which would be acceptable to the Muslims and the Hindus
Put an end to differences between Hindus and Muslims
Ensure racial and communal harmony

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