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Finding the Third Proportional to 71,575,372,716 and 155,717,244,493

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Solution

The third proportional to 71,575,372,716 and 155,717,244,493 is: 338,773,789,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,575,372,716 : 155,717,244,493 = 155,717,244,493 : x
  2. Step 2: Convert to fraction form
    71,575,372,716/155,717,244,493 = 155,717,244,493/x
  3. Step 3: Cross multiply
    71,575,372,716x = 155,717,244,493 × 155,717,244,493
  4. Step 4: Simplify right side
    71,575,372,716x = 24,247,860,232,492,739,985,408
  5. Step 5: Solve for x
    x = 24,247,860,232,492,739,985,408/71,575,372,716
  6. Step 6: Final answer
    x = 338,773,789,257.16

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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.