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Finding the Third Proportional to 641,229,556 and 1,400,517,726

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Solution

The third proportional to 641,229,556 and 1,400,517,726 is: 3,058,888,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,229,556 : 1,400,517,726 = 1,400,517,726 : x
  2. Step 2: Convert to fraction form
    641,229,556/1,400,517,726 = 1,400,517,726/x
  3. Step 3: Cross multiply
    641,229,556x = 1,400,517,726 × 1,400,517,726
  4. Step 4: Simplify right side
    641,229,556x = 1,961,449,900,840,211,200
  5. Step 5: Solve for x
    x = 1,961,449,900,840,211,200/641,229,556
  6. Step 6: Final answer
    x = 3,058,888,790.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.