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Finding the Third Proportional to 252,105,782 and 548,383,132

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Solution

The third proportional to 252,105,782 and 548,383,132 is: 1,192,848,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,105,782 : 548,383,132 = 548,383,132 : x
  2. Step 2: Convert to fraction form
    252,105,782/548,383,132 = 548,383,132/x
  3. Step 3: Cross multiply
    252,105,782x = 548,383,132 × 548,383,132
  4. Step 4: Simplify right side
    252,105,782x = 300,724,059,462,129,408
  5. Step 5: Solve for x
    x = 300,724,059,462,129,408/252,105,782
  6. Step 6: Final answer
    x = 1,192,848,720.39

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Why These Related Problems?

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