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Finding the Third Proportional to 126,053,736 and 274,193,256

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Solution

The third proportional to 126,053,736 and 274,193,256 is: 596,427,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053,736 : 274,193,256 = 274,193,256 : x
  2. Step 2: Convert to fraction form
    126,053,736/274,193,256 = 274,193,256/x
  3. Step 3: Cross multiply
    126,053,736x = 274,193,256 × 274,193,256
  4. Step 4: Simplify right side
    126,053,736x = 75,181,941,635,881,536
  5. Step 5: Solve for x
    x = 75,181,941,635,881,536/126,053,736
  6. Step 6: Final answer
    x = 596,427,714.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.