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Finding the Third Proportional to 5,997,069 and 9,212,155

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Solution

The third proportional to 5,997,069 and 9,212,155 is: 14,150,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997,069 : 9,212,155 = 9,212,155 : x
  2. Step 2: Convert to fraction form
    5,997,069/9,212,155 = 9,212,155/x
  3. Step 3: Cross multiply
    5,997,069x = 9,212,155 × 9,212,155
  4. Step 4: Simplify right side
    5,997,069x = 84,863,799,744,025
  5. Step 5: Solve for x
    x = 84,863,799,744,025/5,997,069
  6. Step 6: Final answer
    x = 14,150,879.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.