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Finding the Third Proportional to 33,902,073 and 73,583,561.25

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Solution

The third proportional to 33,902,073 and 73,583,561.25 is: 159,711,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902,073 : 73,583,561.25 = 73,583,561.25 : x
  2. Step 2: Convert to fraction form
    33,902,073/73,583,561.25 = 73,583,561.25/x
  3. Step 3: Cross multiply
    33,902,073x = 73,583,561.25 × 73,583,561.25
  4. Step 4: Simplify right side
    33,902,073x = 5,414,540,486,232,502
  5. Step 5: Solve for x
    x = 5,414,540,486,232,502/33,902,073
  6. Step 6: Final answer
    x = 159,711,191.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.