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Finding the Third Proportional to 1,138,132,374 and 1,707,198,558

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Solution

The third proportional to 1,138,132,374 and 1,707,198,558 is: 2,560,797,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,132,374 : 1,707,198,558 = 1,707,198,558 : x
  2. Step 2: Convert to fraction form
    1,138,132,374/1,707,198,558 = 1,707,198,558/x
  3. Step 3: Cross multiply
    1,138,132,374x = 1,707,198,558 × 1,707,198,558
  4. Step 4: Simplify right side
    1,138,132,374x = 2,914,526,916,437,279,232
  5. Step 5: Solve for x
    x = 2,914,526,916,437,279,232/1,138,132,374
  6. Step 6: Final answer
    x = 2,560,797,832.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.