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Finding the Third Proportional to 1,478,491,049 and 3,181,222,565

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Solution

The third proportional to 1,478,491,049 and 3,181,222,565 is: 6,844,936,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,491,049 : 3,181,222,565 = 3,181,222,565 : x
  2. Step 2: Convert to fraction form
    1,478,491,049/3,181,222,565 = 3,181,222,565/x
  3. Step 3: Cross multiply
    1,478,491,049x = 3,181,222,565 × 3,181,222,565
  4. Step 4: Simplify right side
    1,478,491,049x = 10,120,177,008,065,179,648
  5. Step 5: Solve for x
    x = 10,120,177,008,065,179,648/1,478,491,049
  6. Step 6: Final answer
    x = 6,844,936,271.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.