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Finding the Third Proportional to 8,303,414 and 11,687,928

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Solution

The third proportional to 8,303,414 and 11,687,928 is: 16,451,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303,414 : 11,687,928 = 11,687,928 : x
  2. Step 2: Convert to fraction form
    8,303,414/11,687,928 = 11,687,928/x
  3. Step 3: Cross multiply
    8,303,414x = 11,687,928 × 11,687,928
  4. Step 4: Simplify right side
    8,303,414x = 136,607,660,933,184
  5. Step 5: Solve for x
    x = 136,607,660,933,184/8,303,414
  6. Step 6: Final answer
    x = 16,451,987.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.