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Finding the Third Proportional to 126,261,693 and 271,320,663

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Solution

The third proportional to 126,261,693 and 271,320,663 is: 583,034,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,261,693 : 271,320,663 = 271,320,663 : x
  2. Step 2: Convert to fraction form
    126,261,693/271,320,663 = 271,320,663/x
  3. Step 3: Cross multiply
    126,261,693x = 271,320,663 × 271,320,663
  4. Step 4: Simplify right side
    126,261,693x = 73,614,902,170,759,568
  5. Step 5: Solve for x
    x = 73,614,902,170,759,568/126,261,693
  6. Step 6: Final answer
    x = 583,034,334.66

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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.