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Finding the Third Proportional to 2,008,143,048 and 4,338,958,992

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Solution

The third proportional to 2,008,143,048 and 4,338,958,992 is: 9,375,111,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,143,048 : 4,338,958,992 = 4,338,958,992 : x
  2. Step 2: Convert to fraction form
    2,008,143,048/4,338,958,992 = 4,338,958,992/x
  3. Step 3: Cross multiply
    2,008,143,048x = 4,338,958,992 × 4,338,958,992
  4. Step 4: Simplify right side
    2,008,143,048x = 18,826,565,134,257,655,808
  5. Step 5: Solve for x
    x = 18,826,565,134,257,655,808/2,008,143,048
  6. Step 6: Final answer
    x = 9,375,111,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.