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Finding the Third Proportional to 36,805,948 and 77,419,463

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Solution

The third proportional to 36,805,948 and 77,419,463 is: 162,847,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805,948 : 77,419,463 = 77,419,463 : x
  2. Step 2: Convert to fraction form
    36,805,948/77,419,463 = 77,419,463/x
  3. Step 3: Cross multiply
    36,805,948x = 77,419,463 × 77,419,463
  4. Step 4: Simplify right side
    36,805,948x = 5,993,773,251,208,369
  5. Step 5: Solve for x
    x = 5,993,773,251,208,369/36,805,948
  6. Step 6: Final answer
    x = 162,847,951.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.