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Finding the Third Proportional to 51,003,897 and 110,067,861

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Solution

The third proportional to 51,003,897 and 110,067,861 is: 237,529,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003,897 : 110,067,861 = 110,067,861 : x
  2. Step 2: Convert to fraction form
    51,003,897/110,067,861 = 110,067,861/x
  3. Step 3: Cross multiply
    51,003,897x = 110,067,861 × 110,067,861
  4. Step 4: Simplify right side
    51,003,897x = 12,114,934,025,115,320
  5. Step 5: Solve for x
    x = 12,114,934,025,115,320/51,003,897
  6. Step 6: Final answer
    x = 237,529,575.93

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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.