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Finding the Third Proportional to 7,633,824 and 16,463,296

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Solution

The third proportional to 7,633,824 and 16,463,296 is: 35,505,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633,824 : 16,463,296 = 16,463,296 : x
  2. Step 2: Convert to fraction form
    7,633,824/16,463,296 = 16,463,296/x
  3. Step 3: Cross multiply
    7,633,824x = 16,463,296 × 16,463,296
  4. Step 4: Simplify right side
    7,633,824x = 271,040,115,183,616
  5. Step 5: Solve for x
    x = 271,040,115,183,616/7,633,824
  6. Step 6: Final answer
    x = 35,505,156.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.