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Action-reaction pairs, concerning gravitational force &normal reaction

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I would like to know how it is possible that I can be at rest on the surface of the Earth (relative the the earth of course).

My main cause for confusion is the action reaction pair that occurs when I stand on the surface of any solid material.

The normal reaction nornal reaction a-r pair ensures that I don't pass through the ground and that the ground doesn't pass through me, however would that not mean that there is a resultant force greater 0.

I'll elaborate, say I weigh 80kg and so I am being pulled toward the centre of the Earth with a force of just under 800N, the Earth is being pulled toward me with a force of 800N also, though my acceleration is greater than that of the Earth's; the normal reaction - normal reaction a-c pair cancels out and the Earth and I approach the other's center with a resultant force of 1600N between us, yet I remain at rest, why is this?

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