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Finding the Third Proportional to 49,749,388 and 107,647,512

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Solution

The third proportional to 49,749,388 and 107,647,512 is: 232,927,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749,388 : 107,647,512 = 107,647,512 : x
  2. Step 2: Convert to fraction form
    49,749,388/107,647,512 = 107,647,512/x
  3. Step 3: Cross multiply
    49,749,388x = 107,647,512 × 107,647,512
  4. Step 4: Simplify right side
    49,749,388x = 11,587,986,839,790,144
  5. Step 5: Solve for x
    x = 11,587,986,839,790,144/49,749,388
  6. Step 6: Final answer
    x = 232,927,223.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.