Finding the Third Proportional to 7,670,579,869,539 and 16,691,491,134,388
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Solution
The third proportional to 7,670,579,869,539 and 16,691,491,134,388 is: 36,321,357,840,981.23
Step by Step Solution
- Step 1: Write the proportion equation
7,670,579,869,539 : 16,691,491,134,388 = 16,691,491,134,388 : x - Step 2: Convert to fraction form
7,670,579,869,539/16,691,491,134,388 = 16,691,491,134,388/x - Step 3: Cross multiply
7,670,579,869,539x = 16,691,491,134,388 × 16,691,491,134,388 - Step 4: Simplify right side
7,670,579,869,539x = 278,605,876,289,353,197,635,502,080 - Step 5: Solve for x
x = 278,605,876,289,353,197,635,502,080/7,670,579,869,539 - Step 6: Final answer
x = 36,321,357,840,981.23
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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.