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Finding the Third Proportional to 14,624,260 and 31,689,216

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Solution

The third proportional to 14,624,260 and 31,689,216 is: 68,667,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624,260 : 31,689,216 = 31,689,216 : x
  2. Step 2: Convert to fraction form
    14,624,260/31,689,216 = 31,689,216/x
  3. Step 3: Cross multiply
    14,624,260x = 31,689,216 × 31,689,216
  4. Step 4: Simplify right side
    14,624,260x = 1,004,206,410,694,656
  5. Step 5: Solve for x
    x = 1,004,206,410,694,656/14,624,260
  6. Step 6: Final answer
    x = 68,667,160.64

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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.