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Finding the Third Proportional to 3,857,693 and 8,296,034

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Solution

The third proportional to 3,857,693 and 8,296,034 is: 17,840,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,693 : 8,296,034 = 8,296,034 : x
  2. Step 2: Convert to fraction form
    3,857,693/8,296,034 = 8,296,034/x
  3. Step 3: Cross multiply
    3,857,693x = 8,296,034 × 8,296,034
  4. Step 4: Simplify right side
    3,857,693x = 68,824,180,129,156
  5. Step 5: Solve for x
    x = 68,824,180,129,156/3,857,693
  6. Step 6: Final answer
    x = 17,840,761.34

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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.