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Finding the Third Proportional to 3,007,823 and 6,263,509

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Solution

The third proportional to 3,007,823 and 6,263,509 is: 13,043,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,823 : 6,263,509 = 6,263,509 : x
  2. Step 2: Convert to fraction form
    3,007,823/6,263,509 = 6,263,509/x
  3. Step 3: Cross multiply
    3,007,823x = 6,263,509 × 6,263,509
  4. Step 4: Simplify right side
    3,007,823x = 39,231,544,993,081
  5. Step 5: Solve for x
    x = 39,231,544,993,081/3,007,823
  6. Step 6: Final answer
    x = 13,043,169.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.