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Finding the Third Proportional to 4,632,378 and 6,682,823

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Solution

The third proportional to 4,632,378 and 6,682,823 is: 9,640,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,378 : 6,682,823 = 6,682,823 : x
  2. Step 2: Convert to fraction form
    4,632,378/6,682,823 = 6,682,823/x
  3. Step 3: Cross multiply
    4,632,378x = 6,682,823 × 6,682,823
  4. Step 4: Simplify right side
    4,632,378x = 44,660,123,249,329
  5. Step 5: Solve for x
    x = 44,660,123,249,329/4,632,378
  6. Step 6: Final answer
    x = 9,640,863.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.