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Finding the Third Proportional to 7,722,422 and 10,476,165

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Solution

The third proportional to 7,722,422 and 10,476,165 is: 14,211,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722,422 : 10,476,165 = 10,476,165 : x
  2. Step 2: Convert to fraction form
    7,722,422/10,476,165 = 10,476,165/x
  3. Step 3: Cross multiply
    7,722,422x = 10,476,165 × 10,476,165
  4. Step 4: Simplify right side
    7,722,422x = 109,750,033,107,225
  5. Step 5: Solve for x
    x = 109,750,033,107,225/7,722,422
  6. Step 6: Final answer
    x = 14,211,866.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.