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Finding the Third Proportional to 36,199,467 and 73,993,257

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Solution

The third proportional to 36,199,467 and 73,993,257 is: 151,245,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,199,467 : 73,993,257 = 73,993,257 : x
  2. Step 2: Convert to fraction form
    36,199,467/73,993,257 = 73,993,257/x
  3. Step 3: Cross multiply
    36,199,467x = 73,993,257 × 73,993,257
  4. Step 4: Simplify right side
    36,199,467x = 5,475,002,081,468,049
  5. Step 5: Solve for x
    x = 5,475,002,081,468,049/36,199,467
  6. Step 6: Final answer
    x = 151,245,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.