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Finding the Third Proportional to 8,081,138 and 17,444,188

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Solution

The third proportional to 8,081,138 and 17,444,188 is: 37,655,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081,138 : 17,444,188 = 17,444,188 : x
  2. Step 2: Convert to fraction form
    8,081,138/17,444,188 = 17,444,188/x
  3. Step 3: Cross multiply
    8,081,138x = 17,444,188 × 17,444,188
  4. Step 4: Simplify right side
    8,081,138x = 304,299,694,979,344
  5. Step 5: Solve for x
    x = 304,299,694,979,344/8,081,138
  6. Step 6: Final answer
    x = 37,655,549.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.