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Finding the Third Proportional to 1,463,088,868 and 2,228,933,879

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Solution

The third proportional to 1,463,088,868 and 2,228,933,879 is: 3,395,655,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,088,868 : 2,228,933,879 = 2,228,933,879 : x
  2. Step 2: Convert to fraction form
    1,463,088,868/2,228,933,879 = 2,228,933,879/x
  3. Step 3: Cross multiply
    1,463,088,868x = 2,228,933,879 × 2,228,933,879
  4. Step 4: Simplify right side
    1,463,088,868x = 4,968,146,236,953,987,072
  5. Step 5: Solve for x
    x = 4,968,146,236,953,987,072/1,463,088,868
  6. Step 6: Final answer
    x = 3,395,655,824.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.