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Finding the Third Proportional to 14,624,315 and 31,689,310

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Solution

The third proportional to 14,624,315 and 31,689,310 is: 68,667,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624,315 : 31,689,310 = 31,689,310 : x
  2. Step 2: Convert to fraction form
    14,624,315/31,689,310 = 31,689,310/x
  3. Step 3: Cross multiply
    14,624,315x = 31,689,310 × 31,689,310
  4. Step 4: Simplify right side
    14,624,315x = 1,004,212,368,276,100
  5. Step 5: Solve for x
    x = 1,004,212,368,276,100/14,624,315
  6. Step 6: Final answer
    x = 68,667,309.77

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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.