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Finding the Third Proportional to 36,967,616 and 82,435,296

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Solution

The third proportional to 36,967,616 and 82,435,296 is: 183,825,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,967,616 : 82,435,296 = 82,435,296 : x
  2. Step 2: Convert to fraction form
    36,967,616/82,435,296 = 82,435,296/x
  3. Step 3: Cross multiply
    36,967,616x = 82,435,296 × 82,435,296
  4. Step 4: Simplify right side
    36,967,616x = 6,795,578,026,607,616
  5. Step 5: Solve for x
    x = 6,795,578,026,607,616/36,967,616
  6. Step 6: Final answer
    x = 183,825,162.72

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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.