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Finding the Third Proportional to 37,175,769 and 80,527,626

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Solution

The third proportional to 37,175,769 and 80,527,626 is: 174,433,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,769 : 80,527,626 = 80,527,626 : x
  2. Step 2: Convert to fraction form
    37,175,769/80,527,626 = 80,527,626/x
  3. Step 3: Cross multiply
    37,175,769x = 80,527,626 × 80,527,626
  4. Step 4: Simplify right side
    37,175,769x = 6,484,698,549,195,876
  5. Step 5: Solve for x
    x = 6,484,698,549,195,876/37,175,769
  6. Step 6: Final answer
    x = 174,433,474.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.