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Finding the Third Proportional to 6,002,646 and 13,143,720

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Solution

The third proportional to 6,002,646 and 13,143,720 is: 28,780,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002,646 : 13,143,720 = 13,143,720 : x
  2. Step 2: Convert to fraction form
    6,002,646/13,143,720 = 13,143,720/x
  3. Step 3: Cross multiply
    6,002,646x = 13,143,720 × 13,143,720
  4. Step 4: Simplify right side
    6,002,646x = 172,757,375,438,400
  5. Step 5: Solve for x
    x = 172,757,375,438,400/6,002,646
  6. Step 6: Final answer
    x = 28,780,203.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.