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Finding the Third Proportional to 5,749,874 and 12,342,569

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Solution

The third proportional to 5,749,874 and 12,342,569 is: 26,494,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,874 : 12,342,569 = 12,342,569 : x
  2. Step 2: Convert to fraction form
    5,749,874/12,342,569 = 12,342,569/x
  3. Step 3: Cross multiply
    5,749,874x = 12,342,569 × 12,342,569
  4. Step 4: Simplify right side
    5,749,874x = 152,339,009,519,761
  5. Step 5: Solve for x
    x = 152,339,009,519,761/5,749,874
  6. Step 6: Final answer
    x = 26,494,321.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.