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Finding the Third Proportional to 8,344,000.50 and 17,327,496

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Solution

The third proportional to 8,344,000.50 and 17,327,496 is: 35,982,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,000.50 : 17,327,496 = 17,327,496 : x
  2. Step 2: Convert to fraction form
    8,344,000.50/17,327,496 = 17,327,496/x
  3. Step 3: Cross multiply
    8,344,000.50x = 17,327,496 × 17,327,496
  4. Step 4: Simplify right side
    8,344,000.50x = 300,242,117,630,016
  5. Step 5: Solve for x
    x = 300,242,117,630,016/8,344,000.50
  6. Step 6: Final answer
    x = 35,982,993.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.