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Finding the Third Proportional to 4,489,895.25 and 10,178,451

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Solution

The third proportional to 4,489,895.25 and 10,178,451 is: 23,074,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,895.25 : 10,178,451 = 10,178,451 : x
  2. Step 2: Convert to fraction form
    4,489,895.25/10,178,451 = 10,178,451/x
  3. Step 3: Cross multiply
    4,489,895.25x = 10,178,451 × 10,178,451
  4. Step 4: Simplify right side
    4,489,895.25x = 103,600,864,759,401
  5. Step 5: Solve for x
    x = 103,600,864,759,401/4,489,895.25
  6. Step 6: Final answer
    x = 23,074,227.57

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.