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Finding the Third Proportional to 321,212,472,576 and 480,545,161,011

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Solution

The third proportional to 321,212,472,576 and 480,545,161,011 is: 718,912,469,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,212,472,576 : 480,545,161,011 = 480,545,161,011 : x
  2. Step 2: Convert to fraction form
    321,212,472,576/480,545,161,011 = 480,545,161,011/x
  3. Step 3: Cross multiply
    321,212,472,576x = 480,545,161,011 × 480,545,161,011
  4. Step 4: Simplify right side
    321,212,472,576x = 230,923,651,771,087,926,067,200
  5. Step 5: Solve for x
    x = 230,923,651,771,087,926,067,200/321,212,472,576
  6. Step 6: Final answer
    x = 718,912,469,117.93

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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.