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Finding the Third Proportional to 3,384,327,831 and 7,422,428,694

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Solution

The third proportional to 3,384,327,831 and 7,422,428,694 is: 16,278,697,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,327,831 : 7,422,428,694 = 7,422,428,694 : x
  2. Step 2: Convert to fraction form
    3,384,327,831/7,422,428,694 = 7,422,428,694/x
  3. Step 3: Cross multiply
    3,384,327,831x = 7,422,428,694 × 7,422,428,694
  4. Step 4: Simplify right side
    3,384,327,831x = 55,092,447,717,514,543,104
  5. Step 5: Solve for x
    x = 55,092,447,717,514,543,104/3,384,327,831
  6. Step 6: Final answer
    x = 16,278,697,120.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.