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Finding the Third Proportional to 3,123,612 and 6,334,164

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Solution

The third proportional to 3,123,612 and 6,334,164 is: 12,844,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123,612 : 6,334,164 = 6,334,164 : x
  2. Step 2: Convert to fraction form
    3,123,612/6,334,164 = 6,334,164/x
  3. Step 3: Cross multiply
    3,123,612x = 6,334,164 × 6,334,164
  4. Step 4: Simplify right side
    3,123,612x = 40,121,633,578,896
  5. Step 5: Solve for x
    x = 40,121,633,578,896/3,123,612
  6. Step 6: Final answer
    x = 12,844,627.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.