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Finding the Third Proportional to 282,571,620,356 and 434,332,839,774

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Solution

The third proportional to 282,571,620,356 and 434,332,839,774 is: 667,600,714,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571,620,356 : 434,332,839,774 = 434,332,839,774 : x
  2. Step 2: Convert to fraction form
    282,571,620,356/434,332,839,774 = 434,332,839,774/x
  3. Step 3: Cross multiply
    282,571,620,356x = 434,332,839,774 × 434,332,839,774
  4. Step 4: Simplify right side
    282,571,620,356x = 188,645,015,706,147,148,005,376
  5. Step 5: Solve for x
    x = 188,645,015,706,147,148,005,376/282,571,620,356
  6. Step 6: Final answer
    x = 667,600,714,709.01

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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.