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Finding the Third Proportional to 47,138,592 and 101,481,432

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Solution

The third proportional to 47,138,592 and 101,481,432 is: 218,472,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138,592 : 101,481,432 = 101,481,432 : x
  2. Step 2: Convert to fraction form
    47,138,592/101,481,432 = 101,481,432/x
  3. Step 3: Cross multiply
    47,138,592x = 101,481,432 × 101,481,432
  4. Step 4: Simplify right side
    47,138,592x = 10,298,481,040,770,624
  5. Step 5: Solve for x
    x = 10,298,481,040,770,624/47,138,592
  6. Step 6: Final answer
    x = 218,472,393.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.