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Finding the Third Proportional to 1,448,686,068 and 3,138,040,668

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Solution

The third proportional to 1,448,686,068 and 3,138,040,668 is: 6,797,400,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,686,068 : 3,138,040,668 = 3,138,040,668 : x
  2. Step 2: Convert to fraction form
    1,448,686,068/3,138,040,668 = 3,138,040,668/x
  3. Step 3: Cross multiply
    1,448,686,068x = 3,138,040,668 × 3,138,040,668
  4. Step 4: Simplify right side
    1,448,686,068x = 9,847,299,234,021,885,952
  5. Step 5: Solve for x
    x = 9,847,299,234,021,885,952/1,448,686,068
  6. Step 6: Final answer
    x = 6,797,400,383.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.