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Finding the Third Proportional to 31,965,532 and 69,046,156

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Solution

The third proportional to 31,965,532 and 69,046,156 is: 149,141,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965,532 : 69,046,156 = 69,046,156 : x
  2. Step 2: Convert to fraction form
    31,965,532/69,046,156 = 69,046,156/x
  3. Step 3: Cross multiply
    31,965,532x = 69,046,156 × 69,046,156
  4. Step 4: Simplify right side
    31,965,532x = 4,767,371,658,376,336
  5. Step 5: Solve for x
    x = 4,767,371,658,376,336/31,965,532
  6. Step 6: Final answer
    x = 149,141,007.83

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