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Finding the Third Proportional to 2,625,828 and 5,653,422

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Solution

The third proportional to 2,625,828 and 5,653,422 is: 12,171,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625,828 : 5,653,422 = 5,653,422 : x
  2. Step 2: Convert to fraction form
    2,625,828/5,653,422 = 5,653,422/x
  3. Step 3: Cross multiply
    2,625,828x = 5,653,422 × 5,653,422
  4. Step 4: Simplify right side
    2,625,828x = 31,961,180,310,084
  5. Step 5: Solve for x
    x = 31,961,180,310,084/2,625,828
  6. Step 6: Final answer
    x = 12,171,848.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.