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Finding the Third Proportional to 23,004,144 and 49,239,744

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Solution

The third proportional to 23,004,144 and 49,239,744 is: 105,396,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004,144 : 49,239,744 = 49,239,744 : x
  2. Step 2: Convert to fraction form
    23,004,144/49,239,744 = 49,239,744/x
  3. Step 3: Cross multiply
    23,004,144x = 49,239,744 × 49,239,744
  4. Step 4: Simplify right side
    23,004,144x = 2,424,552,389,185,536
  5. Step 5: Solve for x
    x = 2,424,552,389,185,536/23,004,144
  6. Step 6: Final answer
    x = 105,396,331.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.