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Finding the Third Proportional to 986,961,477 and 2,194,593,449.25

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Solution

The third proportional to 986,961,477 and 2,194,593,449.25 is: 4,879,866,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,961,477 : 2,194,593,449.25 = 2,194,593,449.25 : x
  2. Step 2: Convert to fraction form
    986,961,477/2,194,593,449.25 = 2,194,593,449.25/x
  3. Step 3: Cross multiply
    986,961,477x = 2,194,593,449.25 × 2,194,593,449.25
  4. Step 4: Simplify right side
    986,961,477x = 4,816,240,407,491,012,608
  5. Step 5: Solve for x
    x = 4,816,240,407,491,012,608/986,961,477
  6. Step 6: Final answer
    x = 4,879,866,661.19

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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.