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Finding the Third Proportional to 38,743,434 and 85,044,249

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Solution

The third proportional to 38,743,434 and 85,044,249 is: 186,677,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743,434 : 85,044,249 = 85,044,249 : x
  2. Step 2: Convert to fraction form
    38,743,434/85,044,249 = 85,044,249/x
  3. Step 3: Cross multiply
    38,743,434x = 85,044,249 × 85,044,249
  4. Step 4: Simplify right side
    38,743,434x = 7,232,524,287,974,001
  5. Step 5: Solve for x
    x = 7,232,524,287,974,001/38,743,434
  6. Step 6: Final answer
    x = 186,677,419.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.