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Finding the Third Proportional to 1,017,990,200 and 1,556,568,120

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Solution

The third proportional to 1,017,990,200 and 1,556,568,120 is: 2,380,086,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,990,200 : 1,556,568,120 = 1,556,568,120 : x
  2. Step 2: Convert to fraction form
    1,017,990,200/1,556,568,120 = 1,556,568,120/x
  3. Step 3: Cross multiply
    1,017,990,200x = 1,556,568,120 × 1,556,568,120
  4. Step 4: Simplify right side
    1,017,990,200x = 2,422,904,312,200,334,336
  5. Step 5: Solve for x
    x = 2,422,904,312,200,334,336/1,017,990,200
  6. Step 6: Final answer
    x = 2,380,086,087.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.