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Finding the Third Proportional to 49,749,450 and 107,647,635

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Solution

The third proportional to 49,749,450 and 107,647,635 is: 232,927,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749,450 : 107,647,635 = 107,647,635 : x
  2. Step 2: Convert to fraction form
    49,749,450/107,647,635 = 107,647,635/x
  3. Step 3: Cross multiply
    49,749,450x = 107,647,635 × 107,647,635
  4. Step 4: Simplify right side
    49,749,450x = 11,588,013,321,093,224
  5. Step 5: Solve for x
    x = 11,588,013,321,093,224/49,749,450
  6. Step 6: Final answer
    x = 232,927,465.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.