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Finding the Third Proportional to 3,194,770 and 6,949,305

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Solution

The third proportional to 3,194,770 and 6,949,305 is: 15,116,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,770 : 6,949,305 = 6,949,305 : x
  2. Step 2: Convert to fraction form
    3,194,770/6,949,305 = 6,949,305/x
  3. Step 3: Cross multiply
    3,194,770x = 6,949,305 × 6,949,305
  4. Step 4: Simplify right side
    3,194,770x = 48,292,839,983,025
  5. Step 5: Solve for x
    x = 48,292,839,983,025/3,194,770
  6. Step 6: Final answer
    x = 15,116,218.06

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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.