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Finding the Third Proportional to 6,021,809 and 8,584,311

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Solution

The third proportional to 6,021,809 and 8,584,311 is: 12,237,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021,809 : 8,584,311 = 8,584,311 : x
  2. Step 2: Convert to fraction form
    6,021,809/8,584,311 = 8,584,311/x
  3. Step 3: Cross multiply
    6,021,809x = 8,584,311 × 8,584,311
  4. Step 4: Simplify right side
    6,021,809x = 73,690,395,344,721
  5. Step 5: Solve for x
    x = 73,690,395,344,721/6,021,809
  6. Step 6: Final answer
    x = 12,237,252.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.