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Finding the Third Proportional to 18,439,867,408,712 and 41,002,625,987,640

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Solution

The third proportional to 18,439,867,408,712 and 41,002,625,987,640 is: 91,172,853,937,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,439,867,408,712 : 41,002,625,987,640 = 41,002,625,987,640 : x
  2. Step 2: Convert to fraction form
    18,439,867,408,712/41,002,625,987,640 = 41,002,625,987,640/x
  3. Step 3: Cross multiply
    18,439,867,408,712x = 41,002,625,987,640 × 41,002,625,987,640
  4. Step 4: Simplify right side
    18,439,867,408,712x = 1,681,215,337,882,290,961,621,450,752
  5. Step 5: Solve for x
    x = 1,681,215,337,882,290,961,621,450,752/18,439,867,408,712
  6. Step 6: Final answer
    x = 91,172,853,937,550.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.