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Finding the Third Proportional to 2,454,842,186.44 and 5,384,954,464.31

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Solution

The third proportional to 2,454,842,186.44 and 5,384,954,464.31 is: 11,812,463,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,842,186.44 : 5,384,954,464.31 = 5,384,954,464.31 : x
  2. Step 2: Convert to fraction form
    2,454,842,186.44/5,384,954,464.31 = 5,384,954,464.31/x
  3. Step 3: Cross multiply
    2,454,842,186.44x = 5,384,954,464.31 × 5,384,954,464.31
  4. Step 4: Simplify right side
    2,454,842,186.44x = 28,997,734,582,719,123,456
  5. Step 5: Solve for x
    x = 28,997,734,582,719,123,456/2,454,842,186.44
  6. Step 6: Final answer
    x = 11,812,463,849.17

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