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Finding the Third Proportional to 33,902,094.50 and 73,583,617

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Solution

The third proportional to 33,902,094.50 and 73,583,617 is: 159,711,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902,094.50 : 73,583,617 = 73,583,617 : x
  2. Step 2: Convert to fraction form
    33,902,094.50/73,583,617 = 73,583,617/x
  3. Step 3: Cross multiply
    33,902,094.50x = 73,583,617 × 73,583,617
  4. Step 4: Simplify right side
    33,902,094.50x = 5,414,548,690,802,689
  5. Step 5: Solve for x
    x = 5,414,548,690,802,689/33,902,094.50
  6. Step 6: Final answer
    x = 159,711,332.61

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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.