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Finding the Third Proportional to 49,749,448 and 107,647,632

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Solution

The third proportional to 49,749,448 and 107,647,632 is: 232,927,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749,448 : 107,647,632 = 107,647,632 : x
  2. Step 2: Convert to fraction form
    49,749,448/107,647,632 = 107,647,632/x
  3. Step 3: Cross multiply
    49,749,448x = 107,647,632 × 107,647,632
  4. Step 4: Simplify right side
    49,749,448x = 11,588,012,675,207,424
  5. Step 5: Solve for x
    x = 11,588,012,675,207,424/49,749,448
  6. Step 6: Final answer
    x = 232,927,462.34

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