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Finding the Third Proportional to 861,061,885,746.15 and 1,844,942,491,131.20

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Solution

The third proportional to 861,061,885,746.15 and 1,844,942,491,131.20 is: 3,953,040,834,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,061,885,746.15 : 1,844,942,491,131.20 = 1,844,942,491,131.20 : x
  2. Step 2: Convert to fraction form
    861,061,885,746.15/1,844,942,491,131.20 = 1,844,942,491,131.20/x
  3. Step 3: Cross multiply
    861,061,885,746.15x = 1,844,942,491,131.20 × 1,844,942,491,131.20
  4. Step 4: Simplify right side
    861,061,885,746.15x = 3,403,812,795,581,397,936,898,048
  5. Step 5: Solve for x
    x = 3,403,812,795,581,397,936,898,048/861,061,885,746.15
  6. Step 6: Final answer
    x = 3,953,040,834,726.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.