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Finding the Third Proportional to 126,252,772 and 271,681,016

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Solution

The third proportional to 126,252,772 and 271,681,016 is: 584,625,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,252,772 : 271,681,016 = 271,681,016 : x
  2. Step 2: Convert to fraction form
    126,252,772/271,681,016 = 271,681,016/x
  3. Step 3: Cross multiply
    126,252,772x = 271,681,016 × 271,681,016
  4. Step 4: Simplify right side
    126,252,772x = 73,810,574,454,792,256
  5. Step 5: Solve for x
    x = 73,810,574,454,792,256/126,252,772
  6. Step 6: Final answer
    x = 584,625,377.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.