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Finding the Third Proportional to 861,061,885,752 and 1,844,942,491,144

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Solution

The third proportional to 861,061,885,752 and 1,844,942,491,144 is: 3,953,040,834,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,061,885,752 : 1,844,942,491,144 = 1,844,942,491,144 : x
  2. Step 2: Convert to fraction form
    861,061,885,752/1,844,942,491,144 = 1,844,942,491,144/x
  3. Step 3: Cross multiply
    861,061,885,752x = 1,844,942,491,144 × 1,844,942,491,144
  4. Step 4: Simplify right side
    861,061,885,752x = 3,403,812,795,628,628,618,510,336
  5. Step 5: Solve for x
    x = 3,403,812,795,628,628,618,510,336/861,061,885,752
  6. Step 6: Final answer
    x = 3,953,040,834,754.80

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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.