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Finding the Third Proportional to 3,149,664 and 6,745,449

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Solution

The third proportional to 3,149,664 and 6,745,449 is: 14,446,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,664 : 6,745,449 = 6,745,449 : x
  2. Step 2: Convert to fraction form
    3,149,664/6,745,449 = 6,745,449/x
  3. Step 3: Cross multiply
    3,149,664x = 6,745,449 × 6,745,449
  4. Step 4: Simplify right side
    3,149,664x = 45,501,082,211,601
  5. Step 5: Solve for x
    x = 45,501,082,211,601/3,149,664
  6. Step 6: Final answer
    x = 14,446,328.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.