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Finding the Third Proportional to 8,286,624 and 11,195,952

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Solution

The third proportional to 8,286,624 and 11,195,952 is: 15,126,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,624 : 11,195,952 = 11,195,952 : x
  2. Step 2: Convert to fraction form
    8,286,624/11,195,952 = 11,195,952/x
  3. Step 3: Cross multiply
    8,286,624x = 11,195,952 × 11,195,952
  4. Step 4: Simplify right side
    8,286,624x = 125,349,341,186,304
  5. Step 5: Solve for x
    x = 125,349,341,186,304/8,286,624
  6. Step 6: Final answer
    x = 15,126,707.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.