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Finding the Third Proportional to 9,271,950 and 14,183,493

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Solution

The third proportional to 9,271,950 and 14,183,493 is: 21,696,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271,950 : 14,183,493 = 14,183,493 : x
  2. Step 2: Convert to fraction form
    9,271,950/14,183,493 = 14,183,493/x
  3. Step 3: Cross multiply
    9,271,950x = 14,183,493 × 14,183,493
  4. Step 4: Simplify right side
    9,271,950x = 201,171,473,681,049
  5. Step 5: Solve for x
    x = 201,171,473,681,049/9,271,950
  6. Step 6: Final answer
    x = 21,696,781.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.