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Finding the Third Proportional to 17,386,738 and 37,760,188

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Solution

The third proportional to 17,386,738 and 37,760,188 is: 82,006,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386,738 : 37,760,188 = 37,760,188 : x
  2. Step 2: Convert to fraction form
    17,386,738/37,760,188 = 37,760,188/x
  3. Step 3: Cross multiply
    17,386,738x = 37,760,188 × 37,760,188
  4. Step 4: Simplify right side
    17,386,738x = 1,425,831,797,795,344
  5. Step 5: Solve for x
    x = 1,425,831,797,795,344/17,386,738
  6. Step 6: Final answer
    x = 82,006,860.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.