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Finding the Third Proportional to 496,607,990 and 1,170,643,193

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Solution

The third proportional to 496,607,990 and 1,170,643,193 is: 2,759,531,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,607,990 : 1,170,643,193 = 1,170,643,193 : x
  2. Step 2: Convert to fraction form
    496,607,990/1,170,643,193 = 1,170,643,193/x
  3. Step 3: Cross multiply
    496,607,990x = 1,170,643,193 × 1,170,643,193
  4. Step 4: Simplify right side
    496,607,990x = 1,370,405,485,317,235,200
  5. Step 5: Solve for x
    x = 1,370,405,485,317,235,200/496,607,990
  6. Step 6: Final answer
    x = 2,759,531,688.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.