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Finding the Third Proportional to 10,252,418 and 14,419,350

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Solution

The third proportional to 10,252,418 and 14,419,350 is: 20,279,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,418 : 14,419,350 = 14,419,350 : x
  2. Step 2: Convert to fraction form
    10,252,418/14,419,350 = 14,419,350/x
  3. Step 3: Cross multiply
    10,252,418x = 14,419,350 × 14,419,350
  4. Step 4: Simplify right side
    10,252,418x = 207,917,654,422,500
  5. Step 5: Solve for x
    x = 207,917,654,422,500/10,252,418
  6. Step 6: Final answer
    x = 20,279,865.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.