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Finding the Third Proportional to 51,051,827 and 109,279,768

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Solution

The third proportional to 51,051,827 and 109,279,768 is: 233,920,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051,827 : 109,279,768 = 109,279,768 : x
  2. Step 2: Convert to fraction form
    51,051,827/109,279,768 = 109,279,768/x
  3. Step 3: Cross multiply
    51,051,827x = 109,279,768 × 109,279,768
  4. Step 4: Simplify right side
    51,051,827x = 11,942,067,694,133,824
  5. Step 5: Solve for x
    x = 11,942,067,694,133,824/51,051,827
  6. Step 6: Final answer
    x = 233,920,476.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.