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Finding the Third Proportional to 3,568,605,963.75 and 7,730,309,864.25

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Solution

The third proportional to 3,568,605,963.75 and 7,730,309,864.25 is: 16,745,387,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,605,963.75 : 7,730,309,864.25 = 7,730,309,864.25 : x
  2. Step 2: Convert to fraction form
    3,568,605,963.75/7,730,309,864.25 = 7,730,309,864.25/x
  3. Step 3: Cross multiply
    3,568,605,963.75x = 7,730,309,864.25 × 7,730,309,864.25
  4. Step 4: Simplify right side
    3,568,605,963.75x = 59,757,690,597,320,851,456
  5. Step 5: Solve for x
    x = 59,757,690,597,320,851,456/3,568,605,963.75
  6. Step 6: Final answer
    x = 16,745,387,752.06

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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.