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Finding the Third Proportional to 24,342,369.75 and 51,400,993.50

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Solution

The third proportional to 24,342,369.75 and 51,400,993.50 is: 108,537,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342,369.75 : 51,400,993.50 = 51,400,993.50 : x
  2. Step 2: Convert to fraction form
    24,342,369.75/51,400,993.50 = 51,400,993.50/x
  3. Step 3: Cross multiply
    24,342,369.75x = 51,400,993.50 × 51,400,993.50
  4. Step 4: Simplify right side
    24,342,369.75x = 2,642,062,132,787,042
  5. Step 5: Solve for x
    x = 2,642,062,132,787,042/24,342,369.75
  6. Step 6: Final answer
    x = 108,537,589.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.