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Finding the Third Proportional to 7,874,600 and 11,971,188

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Solution

The third proportional to 7,874,600 and 11,971,188 is: 18,198,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,600 : 11,971,188 = 11,971,188 : x
  2. Step 2: Convert to fraction form
    7,874,600/11,971,188 = 11,971,188/x
  3. Step 3: Cross multiply
    7,874,600x = 11,971,188 × 11,971,188
  4. Step 4: Simplify right side
    7,874,600x = 143,309,342,131,344
  5. Step 5: Solve for x
    x = 143,309,342,131,344/7,874,600
  6. Step 6: Final answer
    x = 18,198,936.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.