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Finding the Third Proportional to 51,474,042 and 107,182,116

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Solution

The third proportional to 51,474,042 and 107,182,116 is: 223,180,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474,042 : 107,182,116 = 107,182,116 : x
  2. Step 2: Convert to fraction form
    51,474,042/107,182,116 = 107,182,116/x
  3. Step 3: Cross multiply
    51,474,042x = 107,182,116 × 107,182,116
  4. Step 4: Simplify right side
    51,474,042x = 11,488,005,990,237,456
  5. Step 5: Solve for x
    x = 11,488,005,990,237,456/51,474,042
  6. Step 6: Final answer
    x = 223,180,569.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.