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Finding the Third Proportional to 321,212,472,573 and 480,545,161,006.50

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Solution

The third proportional to 321,212,472,573 and 480,545,161,006.50 is: 718,912,469,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,212,472,573 : 480,545,161,006.50 = 480,545,161,006.50 : x
  2. Step 2: Convert to fraction form
    321,212,472,573/480,545,161,006.50 = 480,545,161,006.50/x
  3. Step 3: Cross multiply
    321,212,472,573x = 480,545,161,006.50 × 480,545,161,006.50
  4. Step 4: Simplify right side
    321,212,472,573x = 230,923,651,766,762,994,663,424
  5. Step 5: Solve for x
    x = 230,923,651,766,762,994,663,424/321,212,472,573
  6. Step 6: Final answer
    x = 718,912,469,111.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.