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Finding the Third Proportional to 51,080,801 and 113,499,009

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Solution

The third proportional to 51,080,801 and 113,499,009 is: 252,189,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080,801 : 113,499,009 = 113,499,009 : x
  2. Step 2: Convert to fraction form
    51,080,801/113,499,009 = 113,499,009/x
  3. Step 3: Cross multiply
    51,080,801x = 113,499,009 × 113,499,009
  4. Step 4: Simplify right side
    51,080,801x = 12,882,025,043,982,080
  5. Step 5: Solve for x
    x = 12,882,025,043,982,080/51,080,801
  6. Step 6: Final answer
    x = 252,189,174.64

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.