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Finding the Third Proportional to 3,159,144 and 6,822,624

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Solution

The third proportional to 3,159,144 and 6,822,624 is: 14,734,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,144 : 6,822,624 = 6,822,624 : x
  2. Step 2: Convert to fraction form
    3,159,144/6,822,624 = 6,822,624/x
  3. Step 3: Cross multiply
    3,159,144x = 6,822,624 × 6,822,624
  4. Step 4: Simplify right side
    3,159,144x = 46,548,198,245,376
  5. Step 5: Solve for x
    x = 46,548,198,245,376/3,159,144
  6. Step 6: Final answer
    x = 14,734,433.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.