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Finding the Third Proportional to 37,936,314 and 89,524,188

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Solution

The third proportional to 37,936,314 and 89,524,188 is: 211,264,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,936,314 : 89,524,188 = 89,524,188 : x
  2. Step 2: Convert to fraction form
    37,936,314/89,524,188 = 89,524,188/x
  3. Step 3: Cross multiply
    37,936,314x = 89,524,188 × 89,524,188
  4. Step 4: Simplify right side
    37,936,314x = 8,014,580,237,059,344
  5. Step 5: Solve for x
    x = 8,014,580,237,059,344/37,936,314
  6. Step 6: Final answer
    x = 211,264,073.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.