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Finding the Third Proportional to 1,448,670,872 and 3,138,008,568

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Solution

The third proportional to 1,448,670,872 and 3,138,008,568 is: 6,797,332,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,670,872 : 3,138,008,568 = 3,138,008,568 : x
  2. Step 2: Convert to fraction form
    1,448,670,872/3,138,008,568 = 3,138,008,568/x
  3. Step 3: Cross multiply
    1,448,670,872x = 3,138,008,568 × 3,138,008,568
  4. Step 4: Simplify right side
    1,448,670,872x = 9,847,097,772,841,410,560
  5. Step 5: Solve for x
    x = 9,847,097,772,841,410,560/1,448,670,872
  6. Step 6: Final answer
    x = 6,797,332,619.28

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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.