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Finding the Third Proportional to 861,061,885,756 and 1,844,942,491,152

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Solution

The third proportional to 861,061,885,756 and 1,844,942,491,152 is: 3,953,040,834,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,061,885,756 : 1,844,942,491,152 = 1,844,942,491,152 : x
  2. Step 2: Convert to fraction form
    861,061,885,756/1,844,942,491,152 = 1,844,942,491,152/x
  3. Step 3: Cross multiply
    861,061,885,756x = 1,844,942,491,152 × 1,844,942,491,152
  4. Step 4: Simplify right side
    861,061,885,756x = 3,403,812,795,658,147,391,864,832
  5. Step 5: Solve for x
    x = 3,403,812,795,658,147,391,864,832/861,061,885,756
  6. Step 6: Final answer
    x = 3,953,040,834,770.72

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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.