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Finding the Third Proportional to 10,914,648.75 and 18,189,613.13

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Solution

The third proportional to 10,914,648.75 and 18,189,613.13 is: 30,313,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914,648.75 : 18,189,613.13 = 18,189,613.13 : x
  2. Step 2: Convert to fraction form
    10,914,648.75/18,189,613.13 = 18,189,613.13/x
  3. Step 3: Cross multiply
    10,914,648.75x = 18,189,613.13 × 18,189,613.13
  4. Step 4: Simplify right side
    10,914,648.75x = 330,862,025,637,172.25
  5. Step 5: Solve for x
    x = 330,862,025,637,172.25/10,914,648.75
  6. Step 6: Final answer
    x = 30,313,575.20

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.