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Finding the Third Proportional to 24,085,424 and 38,781,206

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Solution

The third proportional to 24,085,424 and 38,781,206 is: 62,443,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085,424 : 38,781,206 = 38,781,206 : x
  2. Step 2: Convert to fraction form
    24,085,424/38,781,206 = 38,781,206/x
  3. Step 3: Cross multiply
    24,085,424x = 38,781,206 × 38,781,206
  4. Step 4: Simplify right side
    24,085,424x = 1,503,981,938,814,436
  5. Step 5: Solve for x
    x = 1,503,981,938,814,436/24,085,424
  6. Step 6: Final answer
    x = 62,443,656.33

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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.