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Finding the Third Proportional to 37,729,350 and 80,837,748

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Solution

The third proportional to 37,729,350 and 80,837,748 is: 173,200,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729,350 : 80,837,748 = 80,837,748 : x
  2. Step 2: Convert to fraction form
    37,729,350/80,837,748 = 80,837,748/x
  3. Step 3: Cross multiply
    37,729,350x = 80,837,748 × 80,837,748
  4. Step 4: Simplify right side
    37,729,350x = 6,534,741,501,711,504
  5. Step 5: Solve for x
    x = 6,534,741,501,711,504/37,729,350
  6. Step 6: Final answer
    x = 173,200,479.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.