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Finding the Third Proportional to 6,467,228 and 14,082,631

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Solution

The third proportional to 6,467,228 and 14,082,631 is: 30,665,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,228 : 14,082,631 = 14,082,631 : x
  2. Step 2: Convert to fraction form
    6,467,228/14,082,631 = 14,082,631/x
  3. Step 3: Cross multiply
    6,467,228x = 14,082,631 × 14,082,631
  4. Step 4: Simplify right side
    6,467,228x = 198,320,495,882,161
  5. Step 5: Solve for x
    x = 198,320,495,882,161/6,467,228
  6. Step 6: Final answer
    x = 30,665,456.03

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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.