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Finding the Third Proportional to 758,754,917 and 1,138,132,373.50

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Solution

The third proportional to 758,754,917 and 1,138,132,373.50 is: 1,707,198,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,754,917 : 1,138,132,373.50 = 1,138,132,373.50 : x
  2. Step 2: Convert to fraction form
    758,754,917/1,138,132,373.50 = 1,138,132,373.50/x
  3. Step 3: Cross multiply
    758,754,917x = 1,138,132,373.50 × 1,138,132,373.50
  4. Step 4: Simplify right side
    758,754,917x = 1,295,345,299,608,743,424
  5. Step 5: Solve for x
    x = 1,295,345,299,608,743,424/758,754,917
  6. Step 6: Final answer
    x = 1,707,198,557.25

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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.