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Finding the Third Proportional to 4,463,438 and 9,668,512

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Solution

The third proportional to 4,463,438 and 9,668,512 is: 20,943,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463,438 : 9,668,512 = 9,668,512 : x
  2. Step 2: Convert to fraction form
    4,463,438/9,668,512 = 9,668,512/x
  3. Step 3: Cross multiply
    4,463,438x = 9,668,512 × 9,668,512
  4. Step 4: Simplify right side
    4,463,438x = 93,480,124,294,144
  5. Step 5: Solve for x
    x = 93,480,124,294,144/4,463,438
  6. Step 6: Final answer
    x = 20,943,524.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.