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Finding the Third Proportional to 23,067,867 and 32,443,411.50

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Solution

The third proportional to 23,067,867 and 32,443,411.50 is: 45,629,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067,867 : 32,443,411.50 = 32,443,411.50 : x
  2. Step 2: Convert to fraction form
    23,067,867/32,443,411.50 = 32,443,411.50/x
  3. Step 3: Cross multiply
    23,067,867x = 32,443,411.50 × 32,443,411.50
  4. Step 4: Simplify right side
    23,067,867x = 1,052,574,949,758,332.25
  5. Step 5: Solve for x
    x = 1,052,574,949,758,332.25/23,067,867
  6. Step 6: Final answer
    x = 45,629,487.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.