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Finding the Third Proportional to 2,573,100 and 5,500,314

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Solution

The third proportional to 2,573,100 and 5,500,314 is: 11,757,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,100 : 5,500,314 = 5,500,314 : x
  2. Step 2: Convert to fraction form
    2,573,100/5,500,314 = 5,500,314/x
  3. Step 3: Cross multiply
    2,573,100x = 5,500,314 × 5,500,314
  4. Step 4: Simplify right side
    2,573,100x = 30,253,454,098,596
  5. Step 5: Solve for x
    x = 30,253,454,098,596/2,573,100
  6. Step 6: Final answer
    x = 11,757,589.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.