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Finding the Third Proportional to 3,682,128 and 8,033,640

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Solution

The third proportional to 3,682,128 and 8,033,640 is: 17,527,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,128 : 8,033,640 = 8,033,640 : x
  2. Step 2: Convert to fraction form
    3,682,128/8,033,640 = 8,033,640/x
  3. Step 3: Cross multiply
    3,682,128x = 8,033,640 × 8,033,640
  4. Step 4: Simplify right side
    3,682,128x = 64,539,371,649,600
  5. Step 5: Solve for x
    x = 64,539,371,649,600/3,682,128
  6. Step 6: Final answer
    x = 17,527,737.13

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