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Finding the Third Proportional to 252,105,732 and 548,383,032

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Solution

The third proportional to 252,105,732 and 548,383,032 is: 1,192,848,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,105,732 : 548,383,032 = 548,383,032 : x
  2. Step 2: Convert to fraction form
    252,105,732/548,383,032 = 548,383,032/x
  3. Step 3: Cross multiply
    252,105,732x = 548,383,032 × 548,383,032
  4. Step 4: Simplify right side
    252,105,732x = 300,723,949,785,513,024
  5. Step 5: Solve for x
    x = 300,723,949,785,513,024/252,105,732
  6. Step 6: Final answer
    x = 1,192,848,521.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.