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Finding the Third Proportional to 3,404,916 and 6,967,296

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Solution

The third proportional to 3,404,916 and 6,967,296 is: 14,256,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404,916 : 6,967,296 = 6,967,296 : x
  2. Step 2: Convert to fraction form
    3,404,916/6,967,296 = 6,967,296/x
  3. Step 3: Cross multiply
    3,404,916x = 6,967,296 × 6,967,296
  4. Step 4: Simplify right side
    3,404,916x = 48,543,213,551,616
  5. Step 5: Solve for x
    x = 48,543,213,551,616/3,404,916
  6. Step 6: Final answer
    x = 14,256,802.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.