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Finding the Third Proportional to 126,053,820 and 274,193,424

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Solution

The third proportional to 126,053,820 and 274,193,424 is: 596,428,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053,820 : 274,193,424 = 274,193,424 : x
  2. Step 2: Convert to fraction form
    126,053,820/274,193,424 = 274,193,424/x
  3. Step 3: Cross multiply
    126,053,820x = 274,193,424 × 274,193,424
  4. Step 4: Simplify right side
    126,053,820x = 75,182,033,764,843,776
  5. Step 5: Solve for x
    x = 75,182,033,764,843,776/126,053,820
  6. Step 6: Final answer
    x = 596,428,047.68

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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.