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Finding the Third Proportional to 13,204,138.50 and 27,997,983

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Solution

The third proportional to 13,204,138.50 and 27,997,983 is: 59,366,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204,138.50 : 27,997,983 = 27,997,983 : x
  2. Step 2: Convert to fraction form
    13,204,138.50/27,997,983 = 27,997,983/x
  3. Step 3: Cross multiply
    13,204,138.50x = 27,997,983 × 27,997,983
  4. Step 4: Simplify right side
    13,204,138.50x = 783,887,052,068,289
  5. Step 5: Solve for x
    x = 783,887,052,068,289/13,204,138.50
  6. Step 6: Final answer
    x = 59,366,769.90

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Why These Related Problems?

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