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Finding the Third Proportional to 418,274,748 and 632,791,694

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Solution

The third proportional to 418,274,748 and 632,791,694 is: 957,326,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,274,748 : 632,791,694 = 632,791,694 : x
  2. Step 2: Convert to fraction form
    418,274,748/632,791,694 = 632,791,694/x
  3. Step 3: Cross multiply
    418,274,748x = 632,791,694 × 632,791,694
  4. Step 4: Simplify right side
    418,274,748x = 400,425,327,995,389,632
  5. Step 5: Solve for x
    x = 400,425,327,995,389,632/418,274,748
  6. Step 6: Final answer
    x = 957,326,087.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.