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Finding the Third Proportional to 51,441,036 and 110,958,924

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Solution

The third proportional to 51,441,036 and 110,958,924 is: 239,339,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441,036 : 110,958,924 = 110,958,924 : x
  2. Step 2: Convert to fraction form
    51,441,036/110,958,924 = 110,958,924/x
  3. Step 3: Cross multiply
    51,441,036x = 110,958,924 × 110,958,924
  4. Step 4: Simplify right side
    51,441,036x = 12,311,882,815,237,776
  5. Step 5: Solve for x
    x = 12,311,882,815,237,776/51,441,036
  6. Step 6: Final answer
    x = 239,339,713.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.