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Finding the Third Proportional to 32,412,757.50 and 49,442,359.50

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Solution

The third proportional to 32,412,757.50 and 49,442,359.50 is: 75,419,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412,757.50 : 49,442,359.50 = 49,442,359.50 : x
  2. Step 2: Convert to fraction form
    32,412,757.50/49,442,359.50 = 49,442,359.50/x
  3. Step 3: Cross multiply
    32,412,757.50x = 49,442,359.50 × 49,442,359.50
  4. Step 4: Simplify right side
    32,412,757.50x = 2,444,546,912,927,240
  5. Step 5: Solve for x
    x = 2,444,546,912,927,240/32,412,757.50
  6. Step 6: Final answer
    x = 75,419,282.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.