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Finding the Third Proportional to 11,942,494.50 and 18,012,704.25

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Solution

The third proportional to 11,942,494.50 and 18,012,704.25 is: 27,168,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942,494.50 : 18,012,704.25 = 18,012,704.25 : x
  2. Step 2: Convert to fraction form
    11,942,494.50/18,012,704.25 = 18,012,704.25/x
  3. Step 3: Cross multiply
    11,942,494.50x = 18,012,704.25 × 18,012,704.25
  4. Step 4: Simplify right side
    11,942,494.50x = 324,457,514,397,968.06
  5. Step 5: Solve for x
    x = 324,457,514,397,968.06/11,942,494.50
  6. Step 6: Final answer
    x = 27,168,320.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.