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Finding the Third Proportional to 4,101,171.75 and 8,974,719

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Solution

The third proportional to 4,101,171.75 and 8,974,719 is: 19,639,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,171.75 : 8,974,719 = 8,974,719 : x
  2. Step 2: Convert to fraction form
    4,101,171.75/8,974,719 = 8,974,719/x
  3. Step 3: Cross multiply
    4,101,171.75x = 8,974,719 × 8,974,719
  4. Step 4: Simplify right side
    4,101,171.75x = 80,545,581,128,961
  5. Step 5: Solve for x
    x = 80,545,581,128,961/4,101,171.75
  6. Step 6: Final answer
    x = 19,639,650.82

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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.