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Finding the Third Proportional to 3,568,605,987 and 7,730,309,913

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Solution

The third proportional to 3,568,605,987 and 7,730,309,913 is: 16,745,387,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,605,987 : 7,730,309,913 = 7,730,309,913 : x
  2. Step 2: Convert to fraction form
    3,568,605,987/7,730,309,913 = 7,730,309,913/x
  3. Step 3: Cross multiply
    3,568,605,987x = 7,730,309,913 × 7,730,309,913
  4. Step 4: Simplify right side
    3,568,605,987x = 59,757,691,351,026,065,408
  5. Step 5: Solve for x
    x = 59,757,691,351,026,065,408/3,568,605,987
  6. Step 6: Final answer
    x = 16,745,387,854.17

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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.