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Finding the Third Proportional to 19,732,529 and 41,624,451

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Solution

The third proportional to 19,732,529 and 41,624,451 is: 87,803,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732,529 : 41,624,451 = 41,624,451 : x
  2. Step 2: Convert to fraction form
    19,732,529/41,624,451 = 41,624,451/x
  3. Step 3: Cross multiply
    19,732,529x = 41,624,451 × 41,624,451
  4. Step 4: Simplify right side
    19,732,529x = 1,732,594,921,051,401
  5. Step 5: Solve for x
    x = 1,732,594,921,051,401/19,732,529
  6. Step 6: Final answer
    x = 87,803,997.20

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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.