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Finding the Third Proportional to 282,571,620,372 and 434,332,839,789

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Solution

The third proportional to 282,571,620,372 and 434,332,839,789 is: 667,600,714,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571,620,372 : 434,332,839,789 = 434,332,839,789 : x
  2. Step 2: Convert to fraction form
    282,571,620,372/434,332,839,789 = 434,332,839,789/x
  3. Step 3: Cross multiply
    282,571,620,372x = 434,332,839,789 × 434,332,839,789
  4. Step 4: Simplify right side
    282,571,620,372x = 188,645,015,719,177,139,257,344
  5. Step 5: Solve for x
    x = 188,645,015,719,177,139,257,344/282,571,620,372
  6. Step 6: Final answer
    x = 667,600,714,717.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.