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Finding the Third Proportional to 5,227,814.25 and 11,324,140.88

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Solution

The third proportional to 5,227,814.25 and 11,324,140.88 is: 24,529,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,814.25 : 11,324,140.88 = 11,324,140.88 : x
  2. Step 2: Convert to fraction form
    5,227,814.25/11,324,140.88 = 11,324,140.88/x
  3. Step 3: Cross multiply
    5,227,814.25x = 11,324,140.88 × 11,324,140.88
  4. Step 4: Simplify right side
    5,227,814.25x = 128,236,166,556,845.77
  5. Step 5: Solve for x
    x = 128,236,166,556,845.77/5,227,814.25
  6. Step 6: Final answer
    x = 24,529,595.05

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