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Finding the Third Proportional to 682,299,912.75 and 997,861,923.75

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Solution

The third proportional to 682,299,912.75 and 997,861,923.75 is: 1,459,370,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,299,912.75 : 997,861,923.75 = 997,861,923.75 : x
  2. Step 2: Convert to fraction form
    682,299,912.75/997,861,923.75 = 997,861,923.75/x
  3. Step 3: Cross multiply
    682,299,912.75x = 997,861,923.75 × 997,861,923.75
  4. Step 4: Simplify right side
    682,299,912.75x = 995,728,418,870,050,816
  5. Step 5: Solve for x
    x = 995,728,418,870,050,816/682,299,912.75
  6. Step 6: Final answer
    x = 1,459,370,579.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.