Tens, Tens everywhere

Algebra Level 4

Find the geometric mean of the numbers \[(1000000\sqrt{10}+100000\sqrt{10})\]\[(100000\sqrt{10}+10000\sqrt{10})\]\[\vdots\]\[\left(\dfrac{1}{10000}\sqrt{10}+\dfrac{1}{100000}\sqrt{10}\right)\]\[\left(\dfrac{1}{100000}\sqrt{10}+\dfrac{1}{1000000}\sqrt{10}\right)\]

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