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Finding the Third Proportional to 23,022,840 and 49,529,571

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Solution

The third proportional to 23,022,840 and 49,529,571 is: 106,554,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022,840 : 49,529,571 = 49,529,571 : x
  2. Step 2: Convert to fraction form
    23,022,840/49,529,571 = 49,529,571/x
  3. Step 3: Cross multiply
    23,022,840x = 49,529,571 × 49,529,571
  4. Step 4: Simplify right side
    23,022,840x = 2,453,178,403,444,041
  5. Step 5: Solve for x
    x = 2,453,178,403,444,041/23,022,840
  6. Step 6: Final answer
    x = 106,554,117.71

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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.