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Finding the Third Proportional to 11,770,405.50 and 17,997,752.25

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Solution

The third proportional to 11,770,405.50 and 17,997,752.25 is: 27,519,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770,405.50 : 17,997,752.25 = 17,997,752.25 : x
  2. Step 2: Convert to fraction form
    11,770,405.50/17,997,752.25 = 17,997,752.25/x
  3. Step 3: Cross multiply
    11,770,405.50x = 17,997,752.25 × 17,997,752.25
  4. Step 4: Simplify right side
    11,770,405.50x = 323,919,086,052,380.06
  5. Step 5: Solve for x
    x = 323,919,086,052,380.06/11,770,405.50
  6. Step 6: Final answer
    x = 27,519,789.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.