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If, by geometric number (?) you mean geometric mean, then the answer is 40.
The geometric mean of 12 and 16 is 13.8564064606
The geometric mean of 10 and 20 is 14.1421356237
The geometric mean of 22 and 55 is 34.7850542619
The geometric mean of 10 and 12 is: 10.9544511501