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Finding the Third Proportional to 22,951,993.50 and 48,494,598.75

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Solution

The third proportional to 22,951,993.50 and 48,494,598.75 is: 102,462,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951,993.50 : 48,494,598.75 = 48,494,598.75 : x
  2. Step 2: Convert to fraction form
    22,951,993.50/48,494,598.75 = 48,494,598.75/x
  3. Step 3: Cross multiply
    22,951,993.50x = 48,494,598.75 × 48,494,598.75
  4. Step 4: Simplify right side
    22,951,993.50x = 2,351,726,107,923,501.50
  5. Step 5: Solve for x
    x = 2,351,726,107,923,501.50/22,951,993.50
  6. Step 6: Final answer
    x = 102,462,825.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.