Finding the Third Proportional to 16,149,064,773,408 and 34,747,433,421,948
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Solution
The third proportional to 16,149,064,773,408 and 34,747,433,421,948 is: 74,764,956,754,700.66
Step by Step Solution
- Step 1: Write the proportion equation
16,149,064,773,408 : 34,747,433,421,948 = 34,747,433,421,948 : x - Step 2: Convert to fraction form
16,149,064,773,408/34,747,433,421,948 = 34,747,433,421,948/x - Step 3: Cross multiply
16,149,064,773,408x = 34,747,433,421,948 × 34,747,433,421,948 - Step 4: Simplify right side
16,149,064,773,408x = 1,207,384,129,412,708,873,348,841,472 - Step 5: Solve for x
x = 1,207,384,129,412,708,873,348,841,472/16,149,064,773,408 - Step 6: Final answer
x = 74,764,956,754,700.66
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.