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Finding the Third Proportional to 57,906,517 and 127,289,682

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Solution

The third proportional to 57,906,517 and 127,289,682 is: 279,807,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906,517 : 127,289,682 = 127,289,682 : x
  2. Step 2: Convert to fraction form
    57,906,517/127,289,682 = 127,289,682/x
  3. Step 3: Cross multiply
    57,906,517x = 127,289,682 × 127,289,682
  4. Step 4: Simplify right side
    57,906,517x = 16,202,663,143,661,124
  5. Step 5: Solve for x
    x = 16,202,663,143,661,124/57,906,517
  6. Step 6: Final answer
    x = 279,807,247.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.