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Finding the Third Proportional to 16,654,542.75 and 37,138,443.75

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Solution

The third proportional to 16,654,542.75 and 37,138,443.75 is: 82,816,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654,542.75 : 37,138,443.75 = 37,138,443.75 : x
  2. Step 2: Convert to fraction form
    16,654,542.75/37,138,443.75 = 37,138,443.75/x
  3. Step 3: Cross multiply
    16,654,542.75x = 37,138,443.75 × 37,138,443.75
  4. Step 4: Simplify right side
    16,654,542.75x = 1,379,264,004,171,914
  5. Step 5: Solve for x
    x = 1,379,264,004,171,914/16,654,542.75
  6. Step 6: Final answer
    x = 82,816,083.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.