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Finding the Third Proportional to 32,512,324.50 and 48,609,078.75

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Solution

The third proportional to 32,512,324.50 and 48,609,078.75 is: 72,675,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512,324.50 : 48,609,078.75 = 48,609,078.75 : x
  2. Step 2: Convert to fraction form
    32,512,324.50/48,609,078.75 = 48,609,078.75/x
  3. Step 3: Cross multiply
    32,512,324.50x = 48,609,078.75 × 48,609,078.75
  4. Step 4: Simplify right side
    32,512,324.50x = 2,362,842,536,923,701.50
  5. Step 5: Solve for x
    x = 2,362,842,536,923,701.50/32,512,324.50
  6. Step 6: Final answer
    x = 72,675,287.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.