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Finding the Third Proportional to 16,633,906,947 and 39,227,023,836

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Solution

The third proportional to 16,633,906,947 and 39,227,023,836 is: 92,507,394,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633,906,947 : 39,227,023,836 = 39,227,023,836 : x
  2. Step 2: Convert to fraction form
    16,633,906,947/39,227,023,836 = 39,227,023,836/x
  3. Step 3: Cross multiply
    16,633,906,947x = 39,227,023,836 × 39,227,023,836
  4. Step 4: Simplify right side
    16,633,906,947x = 1,538,759,399,030,112,124,928
  5. Step 5: Solve for x
    x = 1,538,759,399,030,112,124,928/16,633,906,947
  6. Step 6: Final answer
    x = 92,507,394,921.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.