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Finding the Third Proportional to 21,598,876 and 47,231,567

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Solution

The third proportional to 21,598,876 and 47,231,567 is: 103,284,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598,876 : 47,231,567 = 47,231,567 : x
  2. Step 2: Convert to fraction form
    21,598,876/47,231,567 = 47,231,567/x
  3. Step 3: Cross multiply
    21,598,876x = 47,231,567 × 47,231,567
  4. Step 4: Simplify right side
    21,598,876x = 2,230,820,921,275,489
  5. Step 5: Solve for x
    x = 2,230,820,921,275,489/21,598,876
  6. Step 6: Final answer
    x = 103,284,120.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.