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Finding the Third Proportional to 32,000,204 and 70,380,616

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Solution

The third proportional to 32,000,204 and 70,380,616 is: 154,793,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000,204 : 70,380,616 = 70,380,616 : x
  2. Step 2: Convert to fraction form
    32,000,204/70,380,616 = 70,380,616/x
  3. Step 3: Cross multiply
    32,000,204x = 70,380,616 × 70,380,616
  4. Step 4: Simplify right side
    32,000,204x = 4,953,431,108,539,456
  5. Step 5: Solve for x
    x = 4,953,431,108,539,456/32,000,204
  6. Step 6: Final answer
    x = 154,793,735.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.