Finding the Third Proportional to 38,832,320,741,770 and 84,500,694,227,852
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Solution
The third proportional to 38,832,320,741,770 and 84,500,694,227,852 is: 183,876,914,606,043.66
Step by Step Solution
- Step 1: Write the proportion equation
38,832,320,741,770 : 84,500,694,227,852 = 84,500,694,227,852 : x - Step 2: Convert to fraction form
38,832,320,741,770/84,500,694,227,852 = 84,500,694,227,852/x - Step 3: Cross multiply
38,832,320,741,770x = 84,500,694,227,852 × 84,500,694,227,852 - Step 4: Simplify right side
38,832,320,741,770x = 7,140,367,324,988,940,716,687,228,928 - Step 5: Solve for x
x = 7,140,367,324,988,940,716,687,228,928/38,832,320,741,770 - Step 6: Final answer
x = 183,876,914,606,043.66
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.