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Finding the Third Proportional to 30,023,659.50 and 60,882,768.75

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Solution

The third proportional to 30,023,659.50 and 60,882,768.75 is: 123,459,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023,659.50 : 60,882,768.75 = 60,882,768.75 : x
  2. Step 2: Convert to fraction form
    30,023,659.50/60,882,768.75 = 60,882,768.75/x
  3. Step 3: Cross multiply
    30,023,659.50x = 60,882,768.75 × 60,882,768.75
  4. Step 4: Simplify right side
    30,023,659.50x = 3,706,711,530,665,976.50
  5. Step 5: Solve for x
    x = 3,706,711,530,665,976.50/30,023,659.50
  6. Step 6: Final answer
    x = 123,459,684.54

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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.