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Finding the Third Proportional to 40,208,876 and 87,791,496

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Solution

The third proportional to 40,208,876 and 87,791,496 is: 191,682,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,208,876 : 87,791,496 = 87,791,496 : x
  2. Step 2: Convert to fraction form
    40,208,876/87,791,496 = 87,791,496/x
  3. Step 3: Cross multiply
    40,208,876x = 87,791,496 × 87,791,496
  4. Step 4: Simplify right side
    40,208,876x = 7,707,346,769,918,016
  5. Step 5: Solve for x
    x = 7,707,346,769,918,016/40,208,876
  6. Step 6: Final answer
    x = 191,682,721.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.