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Finding the Third Proportional to 49,194,094 and 113,886,744

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Solution

The third proportional to 49,194,094 and 113,886,744 is: 263,653,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194,094 : 113,886,744 = 113,886,744 : x
  2. Step 2: Convert to fraction form
    49,194,094/113,886,744 = 113,886,744/x
  3. Step 3: Cross multiply
    49,194,094x = 113,886,744 × 113,886,744
  4. Step 4: Simplify right side
    49,194,094x = 12,970,190,458,921,536
  5. Step 5: Solve for x
    x = 12,970,190,458,921,536/49,194,094
  6. Step 6: Final answer
    x = 263,653,406.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.