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Finding the Third Proportional to 8,237,778.75 and 17,715,313.13

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Solution

The third proportional to 8,237,778.75 and 17,715,313.13 is: 38,096,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,778.75 : 17,715,313.13 = 17,715,313.13 : x
  2. Step 2: Convert to fraction form
    8,237,778.75/17,715,313.13 = 17,715,313.13/x
  3. Step 3: Cross multiply
    8,237,778.75x = 17,715,313.13 × 17,715,313.13
  4. Step 4: Simplify right side
    8,237,778.75x = 313,832,319,116,797.25
  5. Step 5: Solve for x
    x = 313,832,319,116,797.25/8,237,778.75
  6. Step 6: Final answer
    x = 38,096,716.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.