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Finding the Third Proportional to 282,571,620,337 and 434,332,839,745.50

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Solution

The third proportional to 282,571,620,337 and 434,332,839,745.50 is: 667,600,714,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571,620,337 : 434,332,839,745.50 = 434,332,839,745.50 : x
  2. Step 2: Convert to fraction form
    282,571,620,337/434,332,839,745.50 = 434,332,839,745.50/x
  3. Step 3: Cross multiply
    282,571,620,337x = 434,332,839,745.50 × 434,332,839,745.50
  4. Step 4: Simplify right side
    282,571,620,337x = 188,645,015,681,390,184,759,296
  5. Step 5: Solve for x
    x = 188,645,015,681,390,184,759,296/282,571,620,337
  6. Step 6: Final answer
    x = 667,600,714,666.28

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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.