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Finding the Third Proportional to 381,735,321,148.50 and 830,491,970,623.50

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Solution

The third proportional to 381,735,321,148.50 and 830,491,970,623.50 is: 1,806,793,542,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,735,321,148.50 : 830,491,970,623.50 = 830,491,970,623.50 : x
  2. Step 2: Convert to fraction form
    381,735,321,148.50/830,491,970,623.50 = 830,491,970,623.50/x
  3. Step 3: Cross multiply
    381,735,321,148.50x = 830,491,970,623.50 × 830,491,970,623.50
  4. Step 4: Simplify right side
    381,735,321,148.50x = 689,716,913,270,104,449,351,680
  5. Step 5: Solve for x
    x = 689,716,913,270,104,449,351,680/381,735,321,148.50
  6. Step 6: Final answer
    x = 1,806,793,542,696.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.