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Finding the Third Proportional to 3,857,114 and 8,294,728

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Solution

The third proportional to 3,857,114 and 8,294,728 is: 17,837,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,114 : 8,294,728 = 8,294,728 : x
  2. Step 2: Convert to fraction form
    3,857,114/8,294,728 = 8,294,728/x
  3. Step 3: Cross multiply
    3,857,114x = 8,294,728 × 8,294,728
  4. Step 4: Simplify right side
    3,857,114x = 68,802,512,593,984
  5. Step 5: Solve for x
    x = 68,802,512,593,984/3,857,114
  6. Step 6: Final answer
    x = 17,837,821.90

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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.