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Finding the Third Proportional to 4,181,431.50 and 6,133,972.50

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Solution

The third proportional to 4,181,431.50 and 6,133,972.50 is: 8,998,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181,431.50 : 6,133,972.50 = 6,133,972.50 : x
  2. Step 2: Convert to fraction form
    4,181,431.50/6,133,972.50 = 6,133,972.50/x
  3. Step 3: Cross multiply
    4,181,431.50x = 6,133,972.50 × 6,133,972.50
  4. Step 4: Simplify right side
    4,181,431.50x = 37,625,618,630,756.25
  5. Step 5: Solve for x
    x = 37,625,618,630,756.25/4,181,431.50
  6. Step 6: Final answer
    x = 8,998,262.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.