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Finding the Third Proportional to 8,138,130.75 and 17,553,996

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Solution

The third proportional to 8,138,130.75 and 17,553,996 is: 37,864,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138,130.75 : 17,553,996 = 17,553,996 : x
  2. Step 2: Convert to fraction form
    8,138,130.75/17,553,996 = 17,553,996/x
  3. Step 3: Cross multiply
    8,138,130.75x = 17,553,996 × 17,553,996
  4. Step 4: Simplify right side
    8,138,130.75x = 308,142,775,568,016
  5. Step 5: Solve for x
    x = 308,142,775,568,016/8,138,130.75
  6. Step 6: Final answer
    x = 37,864,072.85

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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.