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Finding the Third Proportional to 5,298,198.75 and 11,443,308.75

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Solution

The third proportional to 5,298,198.75 and 11,443,308.75 is: 24,715,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,198.75 : 11,443,308.75 = 11,443,308.75 : x
  2. Step 2: Convert to fraction form
    5,298,198.75/11,443,308.75 = 11,443,308.75/x
  3. Step 3: Cross multiply
    5,298,198.75x = 11,443,308.75 × 11,443,308.75
  4. Step 4: Simplify right side
    5,298,198.75x = 130,949,315,147,826.56
  5. Step 5: Solve for x
    x = 130,949,315,147,826.56/5,298,198.75
  6. Step 6: Final answer
    x = 24,715,817.83

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