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Finding the Third Proportional to 51,003,898 and 110,067,864

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Solution

The third proportional to 51,003,898 and 110,067,864 is: 237,529,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003,898 : 110,067,864 = 110,067,864 : x
  2. Step 2: Convert to fraction form
    51,003,898/110,067,864 = 110,067,864/x
  3. Step 3: Cross multiply
    51,003,898x = 110,067,864 × 110,067,864
  4. Step 4: Simplify right side
    51,003,898x = 12,114,934,685,522,496
  5. Step 5: Solve for x
    x = 12,114,934,685,522,496/51,003,898
  6. Step 6: Final answer
    x = 237,529,584.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.