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Finding the Third Proportional to 21,777,538 and 29,593,914

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Solution

The third proportional to 21,777,538 and 29,593,914 is: 40,215,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777,538 : 29,593,914 = 29,593,914 : x
  2. Step 2: Convert to fraction form
    21,777,538/29,593,914 = 29,593,914/x
  3. Step 3: Cross multiply
    21,777,538x = 29,593,914 × 29,593,914
  4. Step 4: Simplify right side
    21,777,538x = 875,799,745,839,396
  5. Step 5: Solve for x
    x = 875,799,745,839,396/21,777,538
  6. Step 6: Final answer
    x = 40,215,737.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.