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Finding the Third Proportional to 3,810,632,612 and 8,172,625,744

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Solution

The third proportional to 3,810,632,612 and 8,172,625,744 is: 17,527,748,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,632,612 : 8,172,625,744 = 8,172,625,744 : x
  2. Step 2: Convert to fraction form
    3,810,632,612/8,172,625,744 = 8,172,625,744/x
  3. Step 3: Cross multiply
    3,810,632,612x = 8,172,625,744 × 8,172,625,744
  4. Step 4: Simplify right side
    3,810,632,612x = 66,791,811,551,491,555,328
  5. Step 5: Solve for x
    x = 66,791,811,551,491,555,328/3,810,632,612
  6. Step 6: Final answer
    x = 17,527,748,894.28

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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.