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Finding the Third Proportional to 3,288,701.25 and 7,009,152.75

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Solution

The third proportional to 3,288,701.25 and 7,009,152.75 is: 14,938,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,701.25 : 7,009,152.75 = 7,009,152.75 : x
  2. Step 2: Convert to fraction form
    3,288,701.25/7,009,152.75 = 7,009,152.75/x
  3. Step 3: Cross multiply
    3,288,701.25x = 7,009,152.75 × 7,009,152.75
  4. Step 4: Simplify right side
    3,288,701.25x = 49,128,222,272,832.56
  5. Step 5: Solve for x
    x = 49,128,222,272,832.56/3,288,701.25
  6. Step 6: Final answer
    x = 14,938,487.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.