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Finding the Third Proportional to 3,779,466.75 and 8,188,789.50

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Solution

The third proportional to 3,779,466.75 and 8,188,789.50 is: 17,742,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779,466.75 : 8,188,789.50 = 8,188,789.50 : x
  2. Step 2: Convert to fraction form
    3,779,466.75/8,188,789.50 = 8,188,789.50/x
  3. Step 3: Cross multiply
    3,779,466.75x = 8,188,789.50 × 8,188,789.50
  4. Step 4: Simplify right side
    3,779,466.75x = 67,056,273,475,310.25
  5. Step 5: Solve for x
    x = 67,056,273,475,310.25/3,779,466.75
  6. Step 6: Final answer
    x = 17,742,257.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.