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Finding the Third Proportional to 8,002,039 and 17,521,910

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Solution

The third proportional to 8,002,039 and 17,521,910 is: 38,367,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002,039 : 17,521,910 = 17,521,910 : x
  2. Step 2: Convert to fraction form
    8,002,039/17,521,910 = 17,521,910/x
  3. Step 3: Cross multiply
    8,002,039x = 17,521,910 × 17,521,910
  4. Step 4: Simplify right side
    8,002,039x = 307,017,330,048,100
  5. Step 5: Solve for x
    x = 307,017,330,048,100/8,002,039
  6. Step 6: Final answer
    x = 38,367,387.37

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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.