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Finding the Third Proportional to 11,568,340.13 and 17,970,247.13

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Solution

The third proportional to 11,568,340.13 and 17,970,247.13 is: 27,914,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568,340.13 : 17,970,247.13 = 17,970,247.13 : x
  2. Step 2: Convert to fraction form
    11,568,340.13/17,970,247.13 = 17,970,247.13/x
  3. Step 3: Cross multiply
    11,568,340.13x = 17,970,247.13 × 17,970,247.13
  4. Step 4: Simplify right side
    11,568,340.13x = 322,929,781,733,570.75
  5. Step 5: Solve for x
    x = 322,929,781,733,570.75/11,568,340.13
  6. Step 6: Final answer
    x = 27,914,962.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.