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Finding the Third Proportional to 282,571,620,354 and 434,332,839,771

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Solution

The third proportional to 282,571,620,354 and 434,332,839,771 is: 667,600,714,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571,620,354 : 434,332,839,771 = 434,332,839,771 : x
  2. Step 2: Convert to fraction form
    282,571,620,354/434,332,839,771 = 434,332,839,771/x
  3. Step 3: Cross multiply
    282,571,620,354x = 434,332,839,771 × 434,332,839,771
  4. Step 4: Simplify right side
    282,571,620,354x = 188,645,015,703,541,143,044,096
  5. Step 5: Solve for x
    x = 188,645,015,703,541,143,044,096/282,571,620,354
  6. Step 6: Final answer
    x = 667,600,714,704.51

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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.