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Finding the Third Proportional to 33,884,032 and 50,903,324

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Solution

The third proportional to 33,884,032 and 50,903,324 is: 76,471,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,884,032 : 50,903,324 = 50,903,324 : x
  2. Step 2: Convert to fraction form
    33,884,032/50,903,324 = 50,903,324/x
  3. Step 3: Cross multiply
    33,884,032x = 50,903,324 × 50,903,324
  4. Step 4: Simplify right side
    33,884,032x = 2,591,148,394,248,976
  5. Step 5: Solve for x
    x = 2,591,148,394,248,976/33,884,032
  6. Step 6: Final answer
    x = 76,471,076.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.