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Finding the Third Proportional to 3,135,744 and 6,869,016

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Solution

The third proportional to 3,135,744 and 6,869,016 is: 15,046,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,744 : 6,869,016 = 6,869,016 : x
  2. Step 2: Convert to fraction form
    3,135,744/6,869,016 = 6,869,016/x
  3. Step 3: Cross multiply
    3,135,744x = 6,869,016 × 6,869,016
  4. Step 4: Simplify right side
    3,135,744x = 47,183,380,808,256
  5. Step 5: Solve for x
    x = 47,183,380,808,256/3,135,744
  6. Step 6: Final answer
    x = 15,046,949.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.