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Finding the Third Proportional to 51,413,520 and 75,149,880

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Solution

The third proportional to 51,413,520 and 75,149,880 is: 109,844,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413,520 : 75,149,880 = 75,149,880 : x
  2. Step 2: Convert to fraction form
    51,413,520/75,149,880 = 75,149,880/x
  3. Step 3: Cross multiply
    51,413,520x = 75,149,880 × 75,149,880
  4. Step 4: Simplify right side
    51,413,520x = 5,647,504,464,014,400
  5. Step 5: Solve for x
    x = 5,647,504,464,014,400/51,413,520
  6. Step 6: Final answer
    x = 109,844,734.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.