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Finding the Third Proportional to 5,282,509 and 7,936,381

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Solution

The third proportional to 5,282,509 and 7,936,381 is: 11,923,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282,509 : 7,936,381 = 7,936,381 : x
  2. Step 2: Convert to fraction form
    5,282,509/7,936,381 = 7,936,381/x
  3. Step 3: Cross multiply
    5,282,509x = 7,936,381 × 7,936,381
  4. Step 4: Simplify right side
    5,282,509x = 62,986,143,377,161
  5. Step 5: Solve for x
    x = 62,986,143,377,161/5,282,509
  6. Step 6: Final answer
    x = 11,923,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.