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Finding the Third Proportional to 517,082,184 and 1,105,827,984

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Solution

The third proportional to 517,082,184 and 1,105,827,984 is: 2,364,915,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,082,184 : 1,105,827,984 = 1,105,827,984 : x
  2. Step 2: Convert to fraction form
    517,082,184/1,105,827,984 = 1,105,827,984/x
  3. Step 3: Cross multiply
    517,082,184x = 1,105,827,984 × 1,105,827,984
  4. Step 4: Simplify right side
    517,082,184x = 1,222,855,530,197,504,256
  5. Step 5: Solve for x
    x = 1,222,855,530,197,504,256/517,082,184
  6. Step 6: Final answer
    x = 2,364,915,226.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.