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Finding the Third Proportional to 382,103,652 and 818,729,232

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Solution

The third proportional to 382,103,652 and 818,729,232 is: 1,754,281,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103,652 : 818,729,232 = 818,729,232 : x
  2. Step 2: Convert to fraction form
    382,103,652/818,729,232 = 818,729,232/x
  3. Step 3: Cross multiply
    382,103,652x = 818,729,232 × 818,729,232
  4. Step 4: Simplify right side
    382,103,652x = 670,317,555,331,309,824
  5. Step 5: Solve for x
    x = 670,317,555,331,309,824/382,103,652
  6. Step 6: Final answer
    x = 1,754,281,990.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.