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Finding the Third Proportional to 123,383,887,750 and 268,672,051,804

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Solution

The third proportional to 123,383,887,750 and 268,672,051,804 is: 585,041,310,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,383,887,750 : 268,672,051,804 = 268,672,051,804 : x
  2. Step 2: Convert to fraction form
    123,383,887,750/268,672,051,804 = 268,672,051,804/x
  3. Step 3: Cross multiply
    123,383,887,750x = 268,672,051,804 × 268,672,051,804
  4. Step 4: Simplify right side
    123,383,887,750x = 72,184,671,420,571,256,356,864
  5. Step 5: Solve for x
    x = 72,184,671,420,571,256,356,864/123,383,887,750
  6. Step 6: Final answer
    x = 585,041,310,797.66

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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.