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Finding the Third Proportional to 3,682,329.19 and 8,002,045.69

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Solution

The third proportional to 3,682,329.19 and 8,002,045.69 is: 17,389,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,329.19 : 8,002,045.69 = 8,002,045.69 : x
  2. Step 2: Convert to fraction form
    3,682,329.19/8,002,045.69 = 8,002,045.69/x
  3. Step 3: Cross multiply
    3,682,329.19x = 8,002,045.69 × 8,002,045.69
  4. Step 4: Simplify right side
    3,682,329.19x = 64,032,735,184,837.34
  5. Step 5: Solve for x
    x = 64,032,735,184,837.34/3,682,329.19
  6. Step 6: Final answer
    x = 17,389,193.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.