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Finding the Third Proportional to 33,902,095 and 73,583,619

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Solution

The third proportional to 33,902,095 and 73,583,619 is: 159,711,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902,095 : 73,583,619 = 73,583,619 : x
  2. Step 2: Convert to fraction form
    33,902,095/73,583,619 = 73,583,619/x
  3. Step 3: Cross multiply
    33,902,095x = 73,583,619 × 73,583,619
  4. Step 4: Simplify right side
    33,902,095x = 5,414,548,985,137,161
  5. Step 5: Solve for x
    x = 5,414,548,985,137,161/33,902,095
  6. Step 6: Final answer
    x = 159,711,338.93

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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.