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Finding the Third Proportional to 49,891,500 and 74,633,814

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Solution

The third proportional to 49,891,500 and 74,633,814 is: 111,646,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891,500 : 74,633,814 = 74,633,814 : x
  2. Step 2: Convert to fraction form
    49,891,500/74,633,814 = 74,633,814/x
  3. Step 3: Cross multiply
    49,891,500x = 74,633,814 × 74,633,814
  4. Step 4: Simplify right side
    49,891,500x = 5,570,206,192,186,596
  5. Step 5: Solve for x
    x = 5,570,206,192,186,596/49,891,500
  6. Step 6: Final answer
    x = 111,646,396.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.