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Finding the Third Proportional to 2,971,161 and 6,261,505

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Solution

The third proportional to 2,971,161 and 6,261,505 is: 13,195,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,161 : 6,261,505 = 6,261,505 : x
  2. Step 2: Convert to fraction form
    2,971,161/6,261,505 = 6,261,505/x
  3. Step 3: Cross multiply
    2,971,161x = 6,261,505 × 6,261,505
  4. Step 4: Simplify right side
    2,971,161x = 39,206,444,865,025
  5. Step 5: Solve for x
    x = 39,206,444,865,025/2,971,161
  6. Step 6: Final answer
    x = 13,195,664.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.