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Finding the Third Proportional to 1,573,764,993 and 3,392,682,012

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Solution

The third proportional to 1,573,764,993 and 3,392,682,012 is: 7,313,856,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,764,993 : 3,392,682,012 = 3,392,682,012 : x
  2. Step 2: Convert to fraction form
    1,573,764,993/3,392,682,012 = 3,392,682,012/x
  3. Step 3: Cross multiply
    1,573,764,993x = 3,392,682,012 × 3,392,682,012
  4. Step 4: Simplify right side
    1,573,764,993x = 11,510,291,234,548,367,360
  5. Step 5: Solve for x
    x = 11,510,291,234,548,367,360/1,573,764,993
  6. Step 6: Final answer
    x = 7,313,856,443.46

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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.