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Finding the Third Proportional to 1,480,370,268 and 3,251,270,328

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Solution

The third proportional to 1,480,370,268 and 3,251,270,328 is: 7,140,618,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,370,268 : 3,251,270,328 = 3,251,270,328 : x
  2. Step 2: Convert to fraction form
    1,480,370,268/3,251,270,328 = 3,251,270,328/x
  3. Step 3: Cross multiply
    1,480,370,268x = 3,251,270,328 × 3,251,270,328
  4. Step 4: Simplify right side
    1,480,370,268x = 10,570,758,745,733,228,544
  5. Step 5: Solve for x
    x = 10,570,758,745,733,228,544/1,480,370,268
  6. Step 6: Final answer
    x = 7,140,618,110.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.