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Finding the Third Proportional to 5,675,913 and 8,505,567

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Solution

The third proportional to 5,675,913 and 8,505,567 is: 12,745,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,913 : 8,505,567 = 8,505,567 : x
  2. Step 2: Convert to fraction form
    5,675,913/8,505,567 = 8,505,567/x
  3. Step 3: Cross multiply
    5,675,913x = 8,505,567 × 8,505,567
  4. Step 4: Simplify right side
    5,675,913x = 72,344,669,991,489
  5. Step 5: Solve for x
    x = 72,344,669,991,489/5,675,913
  6. Step 6: Final answer
    x = 12,745,908.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.