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Finding the Third Proportional to 413,703,251,361 and 582,331,476,352.50

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Solution

The third proportional to 413,703,251,361 and 582,331,476,352.50 is: 819,693,698,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,703,251,361 : 582,331,476,352.50 = 582,331,476,352.50 : x
  2. Step 2: Convert to fraction form
    413,703,251,361/582,331,476,352.50 = 582,331,476,352.50/x
  3. Step 3: Cross multiply
    413,703,251,361x = 582,331,476,352.50 × 582,331,476,352.50
  4. Step 4: Simplify right side
    413,703,251,361x = 339,109,948,350,882,276,966,400
  5. Step 5: Solve for x
    x = 339,109,948,350,882,276,966,400/413,703,251,361
  6. Step 6: Final answer
    x = 819,693,698,889.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.