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Finding the Third Proportional to 42,381,438 and 91,537,067

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Solution

The third proportional to 42,381,438 and 91,537,067 is: 197,705,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381,438 : 91,537,067 = 91,537,067 : x
  2. Step 2: Convert to fraction form
    42,381,438/91,537,067 = 91,537,067/x
  3. Step 3: Cross multiply
    42,381,438x = 91,537,067 × 91,537,067
  4. Step 4: Simplify right side
    42,381,438x = 8,379,034,634,962,489
  5. Step 5: Solve for x
    x = 8,379,034,634,962,489/42,381,438
  6. Step 6: Final answer
    x = 197,705,293.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.