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Finding the Third Proportional to 4,872,442.50 and 6,811,769.25

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Solution

The third proportional to 4,872,442.50 and 6,811,769.25 is: 9,522,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872,442.50 : 6,811,769.25 = 6,811,769.25 : x
  2. Step 2: Convert to fraction form
    4,872,442.50/6,811,769.25 = 6,811,769.25/x
  3. Step 3: Cross multiply
    4,872,442.50x = 6,811,769.25 × 6,811,769.25
  4. Step 4: Simplify right side
    4,872,442.50x = 46,400,200,315,245.56
  5. Step 5: Solve for x
    x = 46,400,200,315,245.56/4,872,442.50
  6. Step 6: Final answer
    x = 9,522,985.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.