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Finding the Third Proportional to 11,769,945.75 and 24,940,048.50

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Solution

The third proportional to 11,769,945.75 and 24,940,048.50 is: 52,846,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769,945.75 : 24,940,048.50 = 24,940,048.50 : x
  2. Step 2: Convert to fraction form
    11,769,945.75/24,940,048.50 = 24,940,048.50/x
  3. Step 3: Cross multiply
    11,769,945.75x = 24,940,048.50 × 24,940,048.50
  4. Step 4: Simplify right side
    11,769,945.75x = 622,006,019,182,352.25
  5. Step 5: Solve for x
    x = 622,006,019,182,352.25/11,769,945.75
  6. Step 6: Final answer
    x = 52,846,974.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.