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Finding the Third Proportional to 3,699,037 and 8,105,203.25

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Solution

The third proportional to 3,699,037 and 8,105,203.25 is: 17,759,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,037 : 8,105,203.25 = 8,105,203.25 : x
  2. Step 2: Convert to fraction form
    3,699,037/8,105,203.25 = 8,105,203.25/x
  3. Step 3: Cross multiply
    3,699,037x = 8,105,203.25 × 8,105,203.25
  4. Step 4: Simplify right side
    3,699,037x = 65,694,319,723,810.56
  5. Step 5: Solve for x
    x = 65,694,319,723,810.56/3,699,037
  6. Step 6: Final answer
    x = 17,759,843.91

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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.