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You might view this riddle on my prefix,
It also comes with cheese,
My infix is the largest of my suffix,
I am a cunning scheme.

What am I?

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You are a

MACHINATION: machine, China, nation. I confess I'm not sure I understand the bit about cheese. Largest by population, of course.

EDITED to add:

Some astute commenters point out that instead of viewing this on a machine you could view it on a Mac -- and then you have both the "big Mac and cheese" (a cheeseburger) and "mac and cheese" (a pasta dish). Thanks, @noedne and @MichaelMaggs!

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  • $\begingroup$ Ah, clever. @MichaelMaggs might be rot13(znpnebav) too. $\endgroup$ – Gareth McCaughan May 9 at 12:40
  • $\begingroup$ Yes, your edit in the second paragraph is what I was intending, the cheese was to avoid ambiguity. $\endgroup$ – hexomino May 9 at 15:21
3
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Partial

Prefix

Mouse: mice eat cheese, and we may be viewing this with a mouse (computer)

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