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Finding the Third Proportional to 758,755,437.75 and 1,138,133,082.38

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Solution

The third proportional to 758,755,437.75 and 1,138,133,082.38 is: 1,707,199,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,755,437.75 : 1,138,133,082.38 = 1,138,133,082.38 : x
  2. Step 2: Convert to fraction form
    758,755,437.75/1,138,133,082.38 = 1,138,133,082.38/x
  3. Step 3: Cross multiply
    758,755,437.75x = 1,138,133,082.38 × 1,138,133,082.38
  4. Step 4: Simplify right side
    758,755,437.75x = 1,295,346,913,196,418,560
  5. Step 5: Solve for x
    x = 1,295,346,913,196,418,560/758,755,437.75
  6. Step 6: Final answer
    x = 1,707,199,512.19

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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.