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Finding the Third Proportional to 819,138,847.50 and 1,805,244,277.50

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Solution

The third proportional to 819,138,847.50 and 1,805,244,277.50 is: 3,978,454,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,138,847.50 : 1,805,244,277.50 = 1,805,244,277.50 : x
  2. Step 2: Convert to fraction form
    819,138,847.50/1,805,244,277.50 = 1,805,244,277.50/x
  3. Step 3: Cross multiply
    819,138,847.50x = 1,805,244,277.50 × 1,805,244,277.50
  4. Step 4: Simplify right side
    819,138,847.50x = 3,258,906,901,446,496,768
  5. Step 5: Solve for x
    x = 3,258,906,901,446,496,768/819,138,847.50
  6. Step 6: Final answer
    x = 3,978,454,826.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.