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Finding the Third Proportional to 2,361,960 and 5,019,165

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Solution

The third proportional to 2,361,960 and 5,019,165 is: 10,665,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,960 : 5,019,165 = 5,019,165 : x
  2. Step 2: Convert to fraction form
    2,361,960/5,019,165 = 5,019,165/x
  3. Step 3: Cross multiply
    2,361,960x = 5,019,165 × 5,019,165
  4. Step 4: Simplify right side
    2,361,960x = 25,192,017,297,225
  5. Step 5: Solve for x
    x = 25,192,017,297,225/2,361,960
  6. Step 6: Final answer
    x = 10,665,725.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.