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Finding the Third Proportional to 2,107,611 and 4,973,643

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Solution

The third proportional to 2,107,611 and 4,973,643 is: 11,737,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,611 : 4,973,643 = 4,973,643 : x
  2. Step 2: Convert to fraction form
    2,107,611/4,973,643 = 4,973,643/x
  3. Step 3: Cross multiply
    2,107,611x = 4,973,643 × 4,973,643
  4. Step 4: Simplify right side
    2,107,611x = 24,737,124,691,449
  5. Step 5: Solve for x
    x = 24,737,124,691,449/2,107,611
  6. Step 6: Final answer
    x = 11,737,044.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.