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Finding the Third Proportional to 2,180,278,433 and 3,269,616,883

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Solution

The third proportional to 2,180,278,433 and 3,269,616,883 is: 4,903,224,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,278,433 : 3,269,616,883 = 3,269,616,883 : x
  2. Step 2: Convert to fraction form
    2,180,278,433/3,269,616,883 = 3,269,616,883/x
  3. Step 3: Cross multiply
    2,180,278,433x = 3,269,616,883 × 3,269,616,883
  4. Step 4: Simplify right side
    2,180,278,433x = 10,690,394,561,598,636,032
  5. Step 5: Solve for x
    x = 10,690,394,561,598,636,032/2,180,278,433
  6. Step 6: Final answer
    x = 4,903,224,468.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.