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Finding the Third Proportional to 274,716,224 and 582,181,504

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Solution

The third proportional to 274,716,224 and 582,181,504 is: 1,233,765,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,716,224 : 582,181,504 = 582,181,504 : x
  2. Step 2: Convert to fraction form
    274,716,224/582,181,504 = 582,181,504/x
  3. Step 3: Cross multiply
    274,716,224x = 582,181,504 × 582,181,504
  4. Step 4: Simplify right side
    274,716,224x = 338,935,303,599,702,016
  5. Step 5: Solve for x
    x = 338,935,303,599,702,016/274,716,224
  6. Step 6: Final answer
    x = 1,233,765,151.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.