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Finding the Third Proportional to 47,050,912 and 101,918,432

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Solution

The third proportional to 47,050,912 and 101,918,432 is: 220,768,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050,912 : 101,918,432 = 101,918,432 : x
  2. Step 2: Convert to fraction form
    47,050,912/101,918,432 = 101,918,432/x
  3. Step 3: Cross multiply
    47,050,912x = 101,918,432 × 101,918,432
  4. Step 4: Simplify right side
    47,050,912x = 10,387,366,781,338,624
  5. Step 5: Solve for x
    x = 10,387,366,781,338,624/47,050,912
  6. Step 6: Final answer
    x = 220,768,659.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.