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Finding the Third Proportional to 23,022,780 and 49,529,451

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Solution

The third proportional to 23,022,780 and 49,529,451 is: 106,553,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022,780 : 49,529,451 = 49,529,451 : x
  2. Step 2: Convert to fraction form
    23,022,780/49,529,451 = 49,529,451/x
  3. Step 3: Cross multiply
    23,022,780x = 49,529,451 × 49,529,451
  4. Step 4: Simplify right side
    23,022,780x = 2,453,166,516,361,401
  5. Step 5: Solve for x
    x = 2,453,166,516,361,401/23,022,780
  6. Step 6: Final answer
    x = 106,553,879.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.