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Finding the Third Proportional to 3,114,264 and 6,694,116

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Solution

The third proportional to 3,114,264 and 6,694,116 is: 14,389,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,264 : 6,694,116 = 6,694,116 : x
  2. Step 2: Convert to fraction form
    3,114,264/6,694,116 = 6,694,116/x
  3. Step 3: Cross multiply
    3,114,264x = 6,694,116 × 6,694,116
  4. Step 4: Simplify right side
    3,114,264x = 44,811,189,021,456
  5. Step 5: Solve for x
    x = 44,811,189,021,456/3,114,264
  6. Step 6: Final answer
    x = 14,389,014.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.