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Finding the Third Proportional to 8,078,924 and 17,702,932

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Solution

The third proportional to 8,078,924 and 17,702,932 is: 38,791,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,924 : 17,702,932 = 17,702,932 : x
  2. Step 2: Convert to fraction form
    8,078,924/17,702,932 = 17,702,932/x
  3. Step 3: Cross multiply
    8,078,924x = 17,702,932 × 17,702,932
  4. Step 4: Simplify right side
    8,078,924x = 313,393,801,396,624
  5. Step 5: Solve for x
    x = 313,393,801,396,624/8,078,924
  6. Step 6: Final answer
    x = 38,791,527.36

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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.