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Finding the Third Proportional to 3,089,143.41 and 6,643,176.19

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Solution

The third proportional to 3,089,143.41 and 6,643,176.19 is: 14,286,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,143.41 : 6,643,176.19 = 6,643,176.19 : x
  2. Step 2: Convert to fraction form
    3,089,143.41/6,643,176.19 = 6,643,176.19/x
  3. Step 3: Cross multiply
    3,089,143.41x = 6,643,176.19 × 6,643,176.19
  4. Step 4: Simplify right side
    3,089,143.41x = 44,131,789,858,167.03
  5. Step 5: Solve for x
    x = 44,131,789,858,167.03/3,089,143.41
  6. Step 6: Final answer
    x = 14,286,092.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.