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Finding the Third Proportional to 47,753,478 and 102,320,676

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Solution

The third proportional to 47,753,478 and 102,320,676 is: 219,241,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753,478 : 102,320,676 = 102,320,676 : x
  2. Step 2: Convert to fraction form
    47,753,478/102,320,676 = 102,320,676/x
  3. Step 3: Cross multiply
    47,753,478x = 102,320,676 × 102,320,676
  4. Step 4: Simplify right side
    47,753,478x = 10,469,520,737,096,976
  5. Step 5: Solve for x
    x = 10,469,520,737,096,976/47,753,478
  6. Step 6: Final answer
    x = 219,241,009.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.