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Finding the Third Proportional to 268,397,836 and 587,036,408

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Solution

The third proportional to 268,397,836 and 587,036,408 is: 1,283,958,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,397,836 : 587,036,408 = 587,036,408 : x
  2. Step 2: Convert to fraction form
    268,397,836/587,036,408 = 587,036,408/x
  3. Step 3: Cross multiply
    268,397,836x = 587,036,408 × 587,036,408
  4. Step 4: Simplify right side
    268,397,836x = 344,611,744,317,542,464
  5. Step 5: Solve for x
    x = 344,611,744,317,542,464/268,397,836
  6. Step 6: Final answer
    x = 1,283,958,728.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.