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Finding the Third Proportional to 31,211,128 and 67,024,144

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Solution

The third proportional to 31,211,128 and 67,024,144 is: 143,930,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211,128 : 67,024,144 = 67,024,144 : x
  2. Step 2: Convert to fraction form
    31,211,128/67,024,144 = 67,024,144/x
  3. Step 3: Cross multiply
    31,211,128x = 67,024,144 × 67,024,144
  4. Step 4: Simplify right side
    31,211,128x = 4,492,235,878,932,736
  5. Step 5: Solve for x
    x = 4,492,235,878,932,736/31,211,128
  6. Step 6: Final answer
    x = 143,930,583.95

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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.