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Finding the Third Proportional to 87,549,067,478 and 177,534,290,632

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Solution

The third proportional to 87,549,067,478 and 177,534,290,632 is: 360,008,681,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,549,067,478 : 177,534,290,632 = 177,534,290,632 : x
  2. Step 2: Convert to fraction form
    87,549,067,478/177,534,290,632 = 177,534,290,632/x
  3. Step 3: Cross multiply
    87,549,067,478x = 177,534,290,632 × 177,534,290,632
  4. Step 4: Simplify right side
    87,549,067,478x = 31,518,424,350,207,443,468,288
  5. Step 5: Solve for x
    x = 31,518,424,350,207,443,468,288/87,549,067,478
  6. Step 6: Final answer
    x = 360,008,681,510.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.