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Finding the Third Proportional to 3,143,021 and 6,744,826

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Solution

The third proportional to 3,143,021 and 6,744,826 is: 14,474,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,021 : 6,744,826 = 6,744,826 : x
  2. Step 2: Convert to fraction form
    3,143,021/6,744,826 = 6,744,826/x
  3. Step 3: Cross multiply
    3,143,021x = 6,744,826 × 6,744,826
  4. Step 4: Simplify right side
    3,143,021x = 45,492,677,770,276
  5. Step 5: Solve for x
    x = 45,492,677,770,276/3,143,021
  6. Step 6: Final answer
    x = 14,474,188.30

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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.