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Finding the Third Proportional to 382,103,642 and 818,729,212

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Solution

The third proportional to 382,103,642 and 818,729,212 is: 1,754,281,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103,642 : 818,729,212 = 818,729,212 : x
  2. Step 2: Convert to fraction form
    382,103,642/818,729,212 = 818,729,212/x
  3. Step 3: Cross multiply
    382,103,642x = 818,729,212 × 818,729,212
  4. Step 4: Simplify right side
    382,103,642x = 670,317,522,582,140,928
  5. Step 5: Solve for x
    x = 670,317,522,582,140,928/382,103,642
  6. Step 6: Final answer
    x = 1,754,281,951.03

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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.