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Finding the Third Proportional to 381,735,321,157 and 830,491,970,641

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Solution

The third proportional to 381,735,321,157 and 830,491,970,641 is: 1,806,793,542,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,735,321,157 : 830,491,970,641 = 830,491,970,641 : x
  2. Step 2: Convert to fraction form
    381,735,321,157/830,491,970,641 = 830,491,970,641/x
  3. Step 3: Cross multiply
    381,735,321,157x = 830,491,970,641 × 830,491,970,641
  4. Step 4: Simplify right side
    381,735,321,157x = 689,716,913,299,171,580,051,456
  5. Step 5: Solve for x
    x = 689,716,913,299,171,580,051,456/381,735,321,157
  6. Step 6: Final answer
    x = 1,806,793,542,731.94

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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.