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Finding the Third Proportional to 5,863,382 and 8,969,439

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Solution

The third proportional to 5,863,382 and 8,969,439 is: 13,720,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863,382 : 8,969,439 = 8,969,439 : x
  2. Step 2: Convert to fraction form
    5,863,382/8,969,439 = 8,969,439/x
  3. Step 3: Cross multiply
    5,863,382x = 8,969,439 × 8,969,439
  4. Step 4: Simplify right side
    5,863,382x = 80,450,835,974,721
  5. Step 5: Solve for x
    x = 80,450,835,974,721/5,863,382
  6. Step 6: Final answer
    x = 13,720,892.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.