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Finding the Third Proportional to 3,568,605,989 and 7,730,309,917

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Solution

The third proportional to 3,568,605,989 and 7,730,309,917 is: 16,745,387,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,605,989 : 7,730,309,917 = 7,730,309,917 : x
  2. Step 2: Convert to fraction form
    3,568,605,989/7,730,309,917 = 7,730,309,917/x
  3. Step 3: Cross multiply
    3,568,605,989x = 7,730,309,917 × 7,730,309,917
  4. Step 4: Simplify right side
    3,568,605,989x = 59,757,691,412,868,546,560
  5. Step 5: Solve for x
    x = 59,757,691,412,868,546,560/3,568,605,989
  6. Step 6: Final answer
    x = 16,745,387,862.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.