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Finding the Third Proportional to 6,799,976 and 14,796,232

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Solution

The third proportional to 6,799,976 and 14,796,232 is: 32,195,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,976 : 14,796,232 = 14,796,232 : x
  2. Step 2: Convert to fraction form
    6,799,976/14,796,232 = 14,796,232/x
  3. Step 3: Cross multiply
    6,799,976x = 14,796,232 × 14,796,232
  4. Step 4: Simplify right side
    6,799,976x = 218,928,481,397,824
  5. Step 5: Solve for x
    x = 218,928,481,397,824/6,799,976
  6. Step 6: Final answer
    x = 32,195,478.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.