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Finding the Third Proportional to 5,215,839.75 and 7,667,523

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Solution

The third proportional to 5,215,839.75 and 7,667,523 is: 11,271,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,839.75 : 7,667,523 = 7,667,523 : x
  2. Step 2: Convert to fraction form
    5,215,839.75/7,667,523 = 7,667,523/x
  3. Step 3: Cross multiply
    5,215,839.75x = 7,667,523 × 7,667,523
  4. Step 4: Simplify right side
    5,215,839.75x = 58,790,908,955,529
  5. Step 5: Solve for x
    x = 58,790,908,955,529/5,215,839.75
  6. Step 6: Final answer
    x = 11,271,609.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.