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Finding the Third Proportional to 8,002,040 and 17,521,912

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Solution

The third proportional to 8,002,040 and 17,521,912 is: 38,367,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002,040 : 17,521,912 = 17,521,912 : x
  2. Step 2: Convert to fraction form
    8,002,040/17,521,912 = 17,521,912/x
  3. Step 3: Cross multiply
    8,002,040x = 17,521,912 × 17,521,912
  4. Step 4: Simplify right side
    8,002,040x = 307,017,400,135,744
  5. Step 5: Solve for x
    x = 307,017,400,135,744/8,002,040
  6. Step 6: Final answer
    x = 38,367,391.33

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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.