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Finding the Third Proportional to 14,465,966 and 30,945,296

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Solution

The third proportional to 14,465,966 and 30,945,296 is: 66,197,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465,966 : 30,945,296 = 30,945,296 : x
  2. Step 2: Convert to fraction form
    14,465,966/30,945,296 = 30,945,296/x
  3. Step 3: Cross multiply
    14,465,966x = 30,945,296 × 30,945,296
  4. Step 4: Simplify right side
    14,465,966x = 957,611,344,527,616
  5. Step 5: Solve for x
    x = 957,611,344,527,616/14,465,966
  6. Step 6: Final answer
    x = 66,197,538.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.