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Finding the Third Proportional to 47,972,229 and 73,691,211

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Solution

The third proportional to 47,972,229 and 73,691,211 is: 113,198,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,972,229 : 73,691,211 = 73,691,211 : x
  2. Step 2: Convert to fraction form
    47,972,229/73,691,211 = 73,691,211/x
  3. Step 3: Cross multiply
    47,972,229x = 73,691,211 × 73,691,211
  4. Step 4: Simplify right side
    47,972,229x = 5,430,394,578,646,521
  5. Step 5: Solve for x
    x = 5,430,394,578,646,521/47,972,229
  6. Step 6: Final answer
    x = 113,198,712.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.