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Finding the Third Proportional to 758,754,909.56 and 1,138,132,363.50

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Solution

The third proportional to 758,754,909.56 and 1,138,132,363.50 is: 1,707,198,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,754,909.56 : 1,138,132,363.50 = 1,138,132,363.50 : x
  2. Step 2: Convert to fraction form
    758,754,909.56/1,138,132,363.50 = 1,138,132,363.50/x
  3. Step 3: Cross multiply
    758,754,909.56x = 1,138,132,363.50 × 1,138,132,363.50
  4. Step 4: Simplify right side
    758,754,909.56x = 1,295,345,276,846,096,128
  5. Step 5: Solve for x
    x = 1,295,345,276,846,096,128/758,754,909.56
  6. Step 6: Final answer
    x = 1,707,198,543.98

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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.