the fact or quality of being preponderant; superiority in weight, power, numbers, etc.: The preponderance of votes is against the proposal.
Also, preponderancy.

1675–85; preponder(ant) + -ance

predominance, majority, mass, bulk. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
preponderance or preponderancy (prɪˈpɒndərəns, prɪˈpɒndərənsɪ)
the quality of being greater in weight, force, influence, etc: the preponderance of right-handed people
preponderancy or preponderancy

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
The city's outer suburbs are eerily quiet, thanks to the preponderance of
  unsold and foreclosed homes.
It is the signature of absence rather than preponderance.
Multiply titles by sales, and their preponderance is overwhelming.
The preponderance of the dollar in global capital markets remains overwhelming.
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