Capacitance of parallel plates as a function of distance

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Capacitance= (permitivity x Area of overlap)/ distance between two plates

Why is capacitance inversely proportional to the distance between two plates?

I understand that C=Q/V. So capacitance is the amount of charge it takes to change the potential difference between the two plates by 1 volt. And another definition of capacitance is the ability to store charge.
 

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