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Finding the Third Proportional to 14,624,317 and 31,689,314

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Solution

The third proportional to 14,624,317 and 31,689,314 is: 68,667,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624,317 : 31,689,314 = 31,689,314 : x
  2. Step 2: Convert to fraction form
    14,624,317/31,689,314 = 31,689,314/x
  3. Step 3: Cross multiply
    14,624,317x = 31,689,314 × 31,689,314
  4. Step 4: Simplify right side
    14,624,317x = 1,004,212,621,790,596
  5. Step 5: Solve for x
    x = 1,004,212,621,790,596/14,624,317
  6. Step 6: Final answer
    x = 68,667,317.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.