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Finding the Third Proportional to 36,976,224 and 82,449,888

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Solution

The third proportional to 36,976,224 and 82,449,888 is: 183,847,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976,224 : 82,449,888 = 82,449,888 : x
  2. Step 2: Convert to fraction form
    36,976,224/82,449,888 = 82,449,888/x
  3. Step 3: Cross multiply
    36,976,224x = 82,449,888 × 82,449,888
  4. Step 4: Simplify right side
    36,976,224x = 6,797,984,031,212,544
  5. Step 5: Solve for x
    x = 6,797,984,031,212,544/36,976,224
  6. Step 6: Final answer
    x = 183,847,437.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.