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Finding the Third Proportional to 861,061,887,652 and 1,844,942,494,812

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Solution

The third proportional to 861,061,887,652 and 1,844,942,494,812 is: 3,953,040,841,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,061,887,652 : 1,844,942,494,812 = 1,844,942,494,812 : x
  2. Step 2: Convert to fraction form
    861,061,887,652/1,844,942,494,812 = 1,844,942,494,812/x
  3. Step 3: Cross multiply
    861,061,887,652x = 1,844,942,494,812 × 1,844,942,494,812
  4. Step 4: Simplify right side
    861,061,887,652x = 3,403,812,809,163,126,593,290,240
  5. Step 5: Solve for x
    x = 3,403,812,809,163,126,593,290,240/861,061,887,652
  6. Step 6: Final answer
    x = 3,953,040,841,750.49

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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.