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Finding the Third Proportional to 11,972,503 and 18,257,671.50

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Solution

The third proportional to 11,972,503 and 18,257,671.50 is: 27,842,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972,503 : 18,257,671.50 = 18,257,671.50 : x
  2. Step 2: Convert to fraction form
    11,972,503/18,257,671.50 = 18,257,671.50/x
  3. Step 3: Cross multiply
    11,972,503x = 18,257,671.50 × 18,257,671.50
  4. Step 4: Simplify right side
    11,972,503x = 333,342,568,601,912.25
  5. Step 5: Solve for x
    x = 333,342,568,601,912.25/11,972,503
  6. Step 6: Final answer
    x = 27,842,345.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.