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Finding the Third Proportional to 8,017,287.75 and 17,504,147.38

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Solution

The third proportional to 8,017,287.75 and 17,504,147.38 is: 38,216,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017,287.75 : 17,504,147.38 = 17,504,147.38 : x
  2. Step 2: Convert to fraction form
    8,017,287.75/17,504,147.38 = 17,504,147.38/x
  3. Step 3: Cross multiply
    8,017,287.75x = 17,504,147.38 × 17,504,147.38
  4. Step 4: Simplify right side
    8,017,287.75x = 306,395,175,325,719.38
  5. Step 5: Solve for x
    x = 306,395,175,325,719.38/8,017,287.75
  6. Step 6: Final answer
    x = 38,216,811.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.