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Grand Mughal or Mogul, also Great Mughal, is a title coined by Europeans for the ruler of the Mughal Empire of India. It is especially associated with the third in the line, Akbar the Great (1542-1605). The Mughals themselves used the title Padishah.
In the same way the Ottoman sultan was known as the "Grand Turk".
References
Grand Mughal Wikipedia(Text) CC BY-SA