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Finding the Third Proportional to 14,624,310 and 31,689,302

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Solution

The third proportional to 14,624,310 and 31,689,302 is: 68,667,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624,310 : 31,689,302 = 31,689,302 : x
  2. Step 2: Convert to fraction form
    14,624,310/31,689,302 = 31,689,302/x
  3. Step 3: Cross multiply
    14,624,310x = 31,689,302 × 31,689,302
  4. Step 4: Simplify right side
    14,624,310x = 1,004,211,861,247,204
  5. Step 5: Solve for x
    x = 1,004,211,861,247,204/14,624,310
  6. Step 6: Final answer
    x = 68,667,298.58

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Why These Related Problems?

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