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Finding the Third Proportional to 3,682,654 and 7,877,025

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Solution

The third proportional to 3,682,654 and 7,877,025 is: 16,848,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,654 : 7,877,025 = 7,877,025 : x
  2. Step 2: Convert to fraction form
    3,682,654/7,877,025 = 7,877,025/x
  3. Step 3: Cross multiply
    3,682,654x = 7,877,025 × 7,877,025
  4. Step 4: Simplify right side
    3,682,654x = 62,047,522,850,625
  5. Step 5: Solve for x
    x = 62,047,522,850,625/3,682,654
  6. Step 6: Final answer
    x = 16,848,588.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.