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Finding the Third Proportional to 23,122,941 and 50,823,422

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Solution

The third proportional to 23,122,941 and 50,823,422 is: 111,708,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122,941 : 50,823,422 = 50,823,422 : x
  2. Step 2: Convert to fraction form
    23,122,941/50,823,422 = 50,823,422/x
  3. Step 3: Cross multiply
    23,122,941x = 50,823,422 × 50,823,422
  4. Step 4: Simplify right side
    23,122,941x = 2,583,020,223,790,084
  5. Step 5: Solve for x
    x = 2,583,020,223,790,084/23,122,941
  6. Step 6: Final answer
    x = 111,708,118.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.