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Finding the Third Proportional to 3,829,775 and 8,264,766

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Solution

The third proportional to 3,829,775 and 8,264,766 is: 17,835,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,775 : 8,264,766 = 8,264,766 : x
  2. Step 2: Convert to fraction form
    3,829,775/8,264,766 = 8,264,766/x
  3. Step 3: Cross multiply
    3,829,775x = 8,264,766 × 8,264,766
  4. Step 4: Simplify right side
    3,829,775x = 68,306,357,034,756
  5. Step 5: Solve for x
    x = 68,306,357,034,756/3,829,775
  6. Step 6: Final answer
    x = 17,835,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.