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Finding the Third Proportional to 282,571,620,336 and 434,332,839,744

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Solution

The third proportional to 282,571,620,336 and 434,332,839,744 is: 667,600,714,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571,620,336 : 434,332,839,744 = 434,332,839,744 : x
  2. Step 2: Convert to fraction form
    282,571,620,336/434,332,839,744 = 434,332,839,744/x
  3. Step 3: Cross multiply
    282,571,620,336x = 434,332,839,744 × 434,332,839,744
  4. Step 4: Simplify right side
    282,571,620,336x = 188,645,015,680,087,199,055,872
  5. Step 5: Solve for x
    x = 188,645,015,680,087,199,055,872/282,571,620,336
  6. Step 6: Final answer
    x = 667,600,714,664.03

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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.