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Finding the Third Proportional to 3,825,466.75 and 8,082,684

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Solution

The third proportional to 3,825,466.75 and 8,082,684 is: 17,077,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825,466.75 : 8,082,684 = 8,082,684 : x
  2. Step 2: Convert to fraction form
    3,825,466.75/8,082,684 = 8,082,684/x
  3. Step 3: Cross multiply
    3,825,466.75x = 8,082,684 × 8,082,684
  4. Step 4: Simplify right side
    3,825,466.75x = 65,329,780,643,856
  5. Step 5: Solve for x
    x = 65,329,780,643,856/3,825,466.75
  6. Step 6: Final answer
    x = 17,077,597.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.