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Finding the Third Proportional to 2,923,170 and 6,377,538

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Solution

The third proportional to 2,923,170 and 6,377,538 is: 13,914,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,170 : 6,377,538 = 6,377,538 : x
  2. Step 2: Convert to fraction form
    2,923,170/6,377,538 = 6,377,538/x
  3. Step 3: Cross multiply
    2,923,170x = 6,377,538 × 6,377,538
  4. Step 4: Simplify right side
    2,923,170x = 40,672,990,941,444
  5. Step 5: Solve for x
    x = 40,672,990,941,444/2,923,170
  6. Step 6: Final answer
    x = 13,914,001.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.