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Finding the Third Proportional to 1,519,609,615 and 2,270,468,498

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Solution

The third proportional to 1,519,609,615 and 2,270,468,498 is: 3,392,336,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,609,615 : 2,270,468,498 = 2,270,468,498 : x
  2. Step 2: Convert to fraction form
    1,519,609,615/2,270,468,498 = 2,270,468,498/x
  3. Step 3: Cross multiply
    1,519,609,615x = 2,270,468,498 × 2,270,468,498
  4. Step 4: Simplify right side
    1,519,609,615x = 5,155,027,200,410,376,192
  5. Step 5: Solve for x
    x = 5,155,027,200,410,376,192/1,519,609,615
  6. Step 6: Final answer
    x = 3,392,336,524.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.