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Finding the Third Proportional to 3,826,409.20 and 8,325,394.31

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Solution

The third proportional to 3,826,409.20 and 8,325,394.31 is: 18,114,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,409.20 : 8,325,394.31 = 8,325,394.31 : x
  2. Step 2: Convert to fraction form
    3,826,409.20/8,325,394.31 = 8,325,394.31/x
  3. Step 3: Cross multiply
    3,826,409.20x = 8,325,394.31 × 8,325,394.31
  4. Step 4: Simplify right side
    3,826,409.20x = 69,312,190,458,607.34
  5. Step 5: Solve for x
    x = 69,312,190,458,607.34/3,826,409.20
  6. Step 6: Final answer
    x = 18,114,160.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.