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Finding the Third Proportional to 11,970,180 and 18,080,982

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Solution

The third proportional to 11,970,180 and 18,080,982 is: 27,311,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970,180 : 18,080,982 = 18,080,982 : x
  2. Step 2: Convert to fraction form
    11,970,180/18,080,982 = 18,080,982/x
  3. Step 3: Cross multiply
    11,970,180x = 18,080,982 × 18,080,982
  4. Step 4: Simplify right side
    11,970,180x = 326,921,910,084,324
  5. Step 5: Solve for x
    x = 326,921,910,084,324/11,970,180
  6. Step 6: Final answer
    x = 27,311,361.24

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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.