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Finding the Third Proportional to 33,768,225 and 68,728,824

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Solution

The third proportional to 33,768,225 and 68,728,824 is: 139,884,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768,225 : 68,728,824 = 68,728,824 : x
  2. Step 2: Convert to fraction form
    33,768,225/68,728,824 = 68,728,824/x
  3. Step 3: Cross multiply
    33,768,225x = 68,728,824 × 68,728,824
  4. Step 4: Simplify right side
    33,768,225x = 4,723,651,248,422,976
  5. Step 5: Solve for x
    x = 4,723,651,248,422,976/33,768,225
  6. Step 6: Final answer
    x = 139,884,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.