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Finding the Third Proportional to 986,961,478 and 2,194,593,451

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Solution

The third proportional to 986,961,478 and 2,194,593,451 is: 4,879,866,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,961,478 : 2,194,593,451 = 2,194,593,451 : x
  2. Step 2: Convert to fraction form
    986,961,478/2,194,593,451 = 2,194,593,451/x
  3. Step 3: Cross multiply
    986,961,478x = 2,194,593,451 × 2,194,593,451
  4. Step 4: Simplify right side
    986,961,478x = 4,816,240,415,172,089,856
  5. Step 5: Solve for x
    x = 4,816,240,415,172,089,856/986,961,478
  6. Step 6: Final answer
    x = 4,879,866,664.03

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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.