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Finding the Third Proportional to 3,812,791.50 and 8,381,223

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Solution

The third proportional to 3,812,791.50 and 8,381,223 is: 18,423,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812,791.50 : 8,381,223 = 8,381,223 : x
  2. Step 2: Convert to fraction form
    3,812,791.50/8,381,223 = 8,381,223/x
  3. Step 3: Cross multiply
    3,812,791.50x = 8,381,223 × 8,381,223
  4. Step 4: Simplify right side
    3,812,791.50x = 70,244,898,975,729
  5. Step 5: Solve for x
    x = 70,244,898,975,729/3,812,791.50
  6. Step 6: Final answer
    x = 18,423,482.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.