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Finding the Third Proportional to 3,825,466.31 and 8,082,683.06

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Solution

The third proportional to 3,825,466.31 and 8,082,683.06 is: 17,077,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825,466.31 : 8,082,683.06 = 8,082,683.06 : x
  2. Step 2: Convert to fraction form
    3,825,466.31/8,082,683.06 = 8,082,683.06/x
  3. Step 3: Cross multiply
    3,825,466.31x = 8,082,683.06 × 8,082,683.06
  4. Step 4: Simplify right side
    3,825,466.31x = 65,329,765,488,824.38
  5. Step 5: Solve for x
    x = 65,329,765,488,824.38/3,825,466.31
  6. Step 6: Final answer
    x = 17,077,595.29

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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.