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Finding the Third Proportional to 2,389,191,498 and 3,321,979,803.75

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Solution

The third proportional to 2,389,191,498 and 3,321,979,803.75 is: 4,618,947,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,191,498 : 3,321,979,803.75 = 3,321,979,803.75 : x
  2. Step 2: Convert to fraction form
    2,389,191,498/3,321,979,803.75 = 3,321,979,803.75/x
  3. Step 3: Cross multiply
    2,389,191,498x = 3,321,979,803.75 × 3,321,979,803.75
  4. Step 4: Simplify right side
    2,389,191,498x = 11,035,549,816,522,889,216
  5. Step 5: Solve for x
    x = 11,035,549,816,522,889,216/2,389,191,498
  6. Step 6: Final answer
    x = 4,618,947,382.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.