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Finding the Third Proportional to 7,881,379 and 16,978,567

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Solution

The third proportional to 7,881,379 and 16,978,567 is: 36,576,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,379 : 16,978,567 = 16,978,567 : x
  2. Step 2: Convert to fraction form
    7,881,379/16,978,567 = 16,978,567/x
  3. Step 3: Cross multiply
    7,881,379x = 16,978,567 × 16,978,567
  4. Step 4: Simplify right side
    7,881,379x = 288,271,737,373,489
  5. Step 5: Solve for x
    x = 288,271,737,373,489/7,881,379
  6. Step 6: Final answer
    x = 36,576,306.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.