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Finding the Third Proportional to 17,384,672.25 and 37,796,076.56

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Solution

The third proportional to 17,384,672.25 and 37,796,076.56 is: 82,172,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384,672.25 : 37,796,076.56 = 37,796,076.56 : x
  2. Step 2: Convert to fraction form
    17,384,672.25/37,796,076.56 = 37,796,076.56/x
  3. Step 3: Cross multiply
    17,384,672.25x = 37,796,076.56 × 37,796,076.56
  4. Step 4: Simplify right side
    17,384,672.25x = 1,428,543,403,518,361.75
  5. Step 5: Solve for x
    x = 1,428,543,403,518,361.75/17,384,672.25
  6. Step 6: Final answer
    x = 82,172,581.86

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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.