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Finding the Third Proportional to 63,669,344 and 137,504,800

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Solution

The third proportional to 63,669,344 and 137,504,800 is: 296,965,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669,344 : 137,504,800 = 137,504,800 : x
  2. Step 2: Convert to fraction form
    63,669,344/137,504,800 = 137,504,800/x
  3. Step 3: Cross multiply
    63,669,344x = 137,504,800 × 137,504,800
  4. Step 4: Simplify right side
    63,669,344x = 18,907,570,023,040,000
  5. Step 5: Solve for x
    x = 18,907,570,023,040,000/63,669,344
  6. Step 6: Final answer
    x = 296,965,051.55

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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.