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Finding the Third Proportional to 861,061,885,764 and 1,844,942,491,164

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Solution

The third proportional to 861,061,885,764 and 1,844,942,491,164 is: 3,953,040,834,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,061,885,764 : 1,844,942,491,164 = 1,844,942,491,164 : x
  2. Step 2: Convert to fraction form
    861,061,885,764/1,844,942,491,164 = 1,844,942,491,164/x
  3. Step 3: Cross multiply
    861,061,885,764x = 1,844,942,491,164 × 1,844,942,491,164
  4. Step 4: Simplify right side
    861,061,885,764x = 3,403,812,795,702,426,357,202,944
  5. Step 5: Solve for x
    x = 3,403,812,795,702,426,357,202,944/861,061,885,764
  6. Step 6: Final answer
    x = 3,953,040,834,785.42

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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.