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Finding the Third Proportional to 1,091,040,974 and 2,393,313,099.50

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Solution

The third proportional to 1,091,040,974 and 2,393,313,099.50 is: 5,249,983,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,040,974 : 2,393,313,099.50 = 2,393,313,099.50 : x
  2. Step 2: Convert to fraction form
    1,091,040,974/2,393,313,099.50 = 2,393,313,099.50/x
  3. Step 3: Cross multiply
    1,091,040,974x = 2,393,313,099.50 × 2,393,313,099.50
  4. Step 4: Simplify right side
    1,091,040,974x = 5,727,947,592,238,297,088
  5. Step 5: Solve for x
    x = 5,727,947,592,238,297,088/1,091,040,974
  6. Step 6: Final answer
    x = 5,249,983,940.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.