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Finding the Third Proportional to 24,085,422 and 38,781,202.50

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Solution

The third proportional to 24,085,422 and 38,781,202.50 is: 62,443,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085,422 : 38,781,202.50 = 38,781,202.50 : x
  2. Step 2: Convert to fraction form
    24,085,422/38,781,202.50 = 38,781,202.50/x
  3. Step 3: Cross multiply
    24,085,422x = 38,781,202.50 × 38,781,202.50
  4. Step 4: Simplify right side
    24,085,422x = 1,503,981,667,346,006.25
  5. Step 5: Solve for x
    x = 1,503,981,667,346,006.25/24,085,422
  6. Step 6: Final answer
    x = 62,443,650.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.