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Finding the Third Proportional to 16,415,449,224 and 33,287,677,512

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Solution

The third proportional to 16,415,449,224 and 33,287,677,512 is: 67,501,623,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415,449,224 : 33,287,677,512 = 33,287,677,512 : x
  2. Step 2: Convert to fraction form
    16,415,449,224/33,287,677,512 = 33,287,677,512/x
  3. Step 3: Cross multiply
    16,415,449,224x = 33,287,677,512 × 33,287,677,512
  4. Step 4: Simplify right side
    16,415,449,224x = 1,108,069,474,142,910,545,920
  5. Step 5: Solve for x
    x = 1,108,069,474,142,910,545,920/16,415,449,224
  6. Step 6: Final answer
    x = 67,501,623,563.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.