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Finding the Third Proportional to 126,053,338 and 274,192,460

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Solution

The third proportional to 126,053,338 and 274,192,460 is: 596,426,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053,338 : 274,192,460 = 274,192,460 : x
  2. Step 2: Convert to fraction form
    126,053,338/274,192,460 = 274,192,460/x
  3. Step 3: Cross multiply
    126,053,338x = 274,192,460 × 274,192,460
  4. Step 4: Simplify right side
    126,053,338x = 75,181,505,120,851,600
  5. Step 5: Solve for x
    x = 75,181,505,120,851,600/126,053,338
  6. Step 6: Final answer
    x = 596,426,134.47

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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.