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Finding the Third Proportional to 1,154,809,200 and 2,694,647,928

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Solution

The third proportional to 1,154,809,200 and 2,694,647,928 is: 6,287,729,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,809,200 : 2,694,647,928 = 2,694,647,928 : x
  2. Step 2: Convert to fraction form
    1,154,809,200/2,694,647,928 = 2,694,647,928/x
  3. Step 3: Cross multiply
    1,154,809,200x = 2,694,647,928 × 2,694,647,928
  4. Step 4: Simplify right side
    1,154,809,200x = 7,261,127,455,874,693,120
  5. Step 5: Solve for x
    x = 7,261,127,455,874,693,120/1,154,809,200
  6. Step 6: Final answer
    x = 6,287,729,138.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.