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Finding the Third Proportional to 534,993,463.25 and 1,085,029,724.50

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Solution

The third proportional to 534,993,463.25 and 1,085,029,724.50 is: 2,200,568,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,993,463.25 : 1,085,029,724.50 = 1,085,029,724.50 : x
  2. Step 2: Convert to fraction form
    534,993,463.25/1,085,029,724.50 = 1,085,029,724.50/x
  3. Step 3: Cross multiply
    534,993,463.25x = 1,085,029,724.50 × 1,085,029,724.50
  4. Step 4: Simplify right side
    534,993,463.25x = 1,177,289,503,048,545,792
  5. Step 5: Solve for x
    x = 1,177,289,503,048,545,792/534,993,463.25
  6. Step 6: Final answer
    x = 2,200,568,014.23

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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.