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Finding the Third Proportional to 3,727,747.50 and 8,153,283

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Solution

The third proportional to 3,727,747.50 and 8,153,283 is: 17,832,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727,747.50 : 8,153,283 = 8,153,283 : x
  2. Step 2: Convert to fraction form
    3,727,747.50/8,153,283 = 8,153,283/x
  3. Step 3: Cross multiply
    3,727,747.50x = 8,153,283 × 8,153,283
  4. Step 4: Simplify right side
    3,727,747.50x = 66,476,023,678,089
  5. Step 5: Solve for x
    x = 66,476,023,678,089/3,727,747.50
  6. Step 6: Final answer
    x = 17,832,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.