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Finding the Third Proportional to 8,212,456 and 16,945,256

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Solution

The third proportional to 8,212,456 and 16,945,256 is: 34,964,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212,456 : 16,945,256 = 16,945,256 : x
  2. Step 2: Convert to fraction form
    8,212,456/16,945,256 = 16,945,256/x
  3. Step 3: Cross multiply
    8,212,456x = 16,945,256 × 16,945,256
  4. Step 4: Simplify right side
    8,212,456x = 287,141,700,905,536
  5. Step 5: Solve for x
    x = 287,141,700,905,536/8,212,456
  6. Step 6: Final answer
    x = 34,964,169.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.