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Finding the Third Proportional to 10,252,384 and 14,419,292

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Solution

The third proportional to 10,252,384 and 14,419,292 is: 20,279,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,384 : 14,419,292 = 14,419,292 : x
  2. Step 2: Convert to fraction form
    10,252,384/14,419,292 = 14,419,292/x
  3. Step 3: Cross multiply
    10,252,384x = 14,419,292 × 14,419,292
  4. Step 4: Simplify right side
    10,252,384x = 207,915,981,781,264
  5. Step 5: Solve for x
    x = 207,915,981,781,264/10,252,384
  6. Step 6: Final answer
    x = 20,279,769.25

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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.