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Finding the Third Proportional to 51,080,784 and 113,498,976

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Solution

The third proportional to 51,080,784 and 113,498,976 is: 252,189,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080,784 : 113,498,976 = 113,498,976 : x
  2. Step 2: Convert to fraction form
    51,080,784/113,498,976 = 113,498,976/x
  3. Step 3: Cross multiply
    51,080,784x = 113,498,976 × 113,498,976
  4. Step 4: Simplify right side
    51,080,784x = 12,882,017,553,048,576
  5. Step 5: Solve for x
    x = 12,882,017,553,048,576/51,080,784
  6. Step 6: Final answer
    x = 252,189,111.92

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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.