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Finding the Third Proportional to 31,211,134 and 67,024,156

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Solution

The third proportional to 31,211,134 and 67,024,156 is: 143,930,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211,134 : 67,024,156 = 67,024,156 : x
  2. Step 2: Convert to fraction form
    31,211,134/67,024,156 = 67,024,156/x
  3. Step 3: Cross multiply
    31,211,134x = 67,024,156 × 67,024,156
  4. Step 4: Simplify right side
    31,211,134x = 4,492,237,487,512,336
  5. Step 5: Solve for x
    x = 4,492,237,487,512,336/31,211,134
  6. Step 6: Final answer
    x = 143,930,607.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.