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Finding the Third Proportional to 5,629,999 and 12,057,182

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Solution

The third proportional to 5,629,999 and 12,057,182 is: 25,821,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629,999 : 12,057,182 = 12,057,182 : x
  2. Step 2: Convert to fraction form
    5,629,999/12,057,182 = 12,057,182/x
  3. Step 3: Cross multiply
    5,629,999x = 12,057,182 × 12,057,182
  4. Step 4: Simplify right side
    5,629,999x = 145,375,637,781,124
  5. Step 5: Solve for x
    x = 145,375,637,781,124/5,629,999
  6. Step 6: Final answer
    x = 25,821,609.88

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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.