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Finding the Third Proportional to 3,084,921 and 6,643,530

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Solution

The third proportional to 3,084,921 and 6,643,530 is: 14,307,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,921 : 6,643,530 = 6,643,530 : x
  2. Step 2: Convert to fraction form
    3,084,921/6,643,530 = 6,643,530/x
  3. Step 3: Cross multiply
    3,084,921x = 6,643,530 × 6,643,530
  4. Step 4: Simplify right side
    3,084,921x = 44,136,490,860,900
  5. Step 5: Solve for x
    x = 44,136,490,860,900/3,084,921
  6. Step 6: Final answer
    x = 14,307,170.54

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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.