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Finding the Third Proportional to 41,781,715 and 91,634,687

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Solution

The third proportional to 41,781,715 and 91,634,687 is: 200,971,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781,715 : 91,634,687 = 91,634,687 : x
  2. Step 2: Convert to fraction form
    41,781,715/91,634,687 = 91,634,687/x
  3. Step 3: Cross multiply
    41,781,715x = 91,634,687 × 91,634,687
  4. Step 4: Simplify right side
    41,781,715x = 8,396,915,861,587,969
  5. Step 5: Solve for x
    x = 8,396,915,861,587,969/41,781,715
  6. Step 6: Final answer
    x = 200,971,067.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.