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Finding the Third Proportional to 45,676,901 and 67,253,695

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Solution

The third proportional to 45,676,901 and 67,253,695 is: 99,022,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,676,901 : 67,253,695 = 67,253,695 : x
  2. Step 2: Convert to fraction form
    45,676,901/67,253,695 = 67,253,695/x
  3. Step 3: Cross multiply
    45,676,901x = 67,253,695 × 67,253,695
  4. Step 4: Simplify right side
    45,676,901x = 4,523,059,491,153,025
  5. Step 5: Solve for x
    x = 4,523,059,491,153,025/45,676,901
  6. Step 6: Final answer
    x = 99,022,906.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.