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Finding the Third Proportional to 3,870,567 and 8,202,582

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Solution

The third proportional to 3,870,567 and 8,202,582 is: 17,383,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,567 : 8,202,582 = 8,202,582 : x
  2. Step 2: Convert to fraction form
    3,870,567/8,202,582 = 8,202,582/x
  3. Step 3: Cross multiply
    3,870,567x = 8,202,582 × 8,202,582
  4. Step 4: Simplify right side
    3,870,567x = 67,282,351,466,724
  5. Step 5: Solve for x
    x = 67,282,351,466,724/3,870,567
  6. Step 6: Final answer
    x = 17,383,073.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.