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Finding the Third Proportional to 986,961,458.50 and 2,194,593,412.50

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Solution

The third proportional to 986,961,458.50 and 2,194,593,412.50 is: 4,879,866,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,961,458.50 : 2,194,593,412.50 = 2,194,593,412.50 : x
  2. Step 2: Convert to fraction form
    986,961,458.50/2,194,593,412.50 = 2,194,593,412.50/x
  3. Step 3: Cross multiply
    986,961,458.50x = 2,194,593,412.50 × 2,194,593,412.50
  4. Step 4: Simplify right side
    986,961,458.50x = 4,816,240,246,188,395,520
  5. Step 5: Solve for x
    x = 4,816,240,246,188,395,520/986,961,458.50
  6. Step 6: Final answer
    x = 4,879,866,589.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.