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Finding the Third Proportional to 23,022,774 and 49,529,439

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Solution

The third proportional to 23,022,774 and 49,529,439 is: 106,553,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022,774 : 49,529,439 = 49,529,439 : x
  2. Step 2: Convert to fraction form
    23,022,774/49,529,439 = 49,529,439/x
  3. Step 3: Cross multiply
    23,022,774x = 49,529,439 × 49,529,439
  4. Step 4: Simplify right side
    23,022,774x = 2,453,165,327,654,721
  5. Step 5: Solve for x
    x = 2,453,165,327,654,721/23,022,774
  6. Step 6: Final answer
    x = 106,553,855.22

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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.