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Finding the Third Proportional to 51,080,769 and 113,498,946

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Solution

The third proportional to 51,080,769 and 113,498,946 is: 252,189,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080,769 : 113,498,946 = 113,498,946 : x
  2. Step 2: Convert to fraction form
    51,080,769/113,498,946 = 113,498,946/x
  3. Step 3: Cross multiply
    51,080,769x = 113,498,946 × 113,498,946
  4. Step 4: Simplify right side
    51,080,769x = 12,882,010,743,110,916
  5. Step 5: Solve for x
    x = 12,882,010,743,110,916/51,080,769
  6. Step 6: Final answer
    x = 252,189,052.66

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Why These Related Problems?

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