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Finding the Third Proportional to 381,735,321,154.88 and 830,491,970,636.25

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Solution

The third proportional to 381,735,321,154.88 and 830,491,970,636.25 is: 1,806,793,542,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,735,321,154.88 : 830,491,970,636.25 = 830,491,970,636.25 : x
  2. Step 2: Convert to fraction form
    381,735,321,154.88/830,491,970,636.25 = 830,491,970,636.25/x
  3. Step 3: Cross multiply
    381,735,321,154.88x = 830,491,970,636.25 × 830,491,970,636.25
  4. Step 4: Simplify right side
    381,735,321,154.88x = 689,716,913,291,281,993,564,160
  5. Step 5: Solve for x
    x = 689,716,913,291,281,993,564,160/381,735,321,154.88
  6. Step 6: Final answer
    x = 1,806,793,542,721.31

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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.