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Finding the Third Proportional to 10,447,898 and 15,829,850

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Solution

The third proportional to 10,447,898 and 15,829,850 is: 23,984,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,898 : 15,829,850 = 15,829,850 : x
  2. Step 2: Convert to fraction form
    10,447,898/15,829,850 = 15,829,850/x
  3. Step 3: Cross multiply
    10,447,898x = 15,829,850 × 15,829,850
  4. Step 4: Simplify right side
    10,447,898x = 250,584,151,022,500
  5. Step 5: Solve for x
    x = 250,584,151,022,500/10,447,898
  6. Step 6: Final answer
    x = 23,984,168.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.