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Finding the Third Proportional to 126,523,224 and 276,245,856

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Solution

The third proportional to 126,523,224 and 276,245,856 is: 603,144,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,523,224 : 276,245,856 = 276,245,856 : x
  2. Step 2: Convert to fraction form
    126,523,224/276,245,856 = 276,245,856/x
  3. Step 3: Cross multiply
    126,523,224x = 276,245,856 × 276,245,856
  4. Step 4: Simplify right side
    126,523,224x = 76,311,772,957,172,736
  5. Step 5: Solve for x
    x = 76,311,772,957,172,736/126,523,224
  6. Step 6: Final answer
    x = 603,144,391.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.