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Finding the Third Proportional to 9,156,512.25 and 14,171,562

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Solution

The third proportional to 9,156,512.25 and 14,171,562 is: 21,933,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156,512.25 : 14,171,562 = 14,171,562 : x
  2. Step 2: Convert to fraction form
    9,156,512.25/14,171,562 = 14,171,562/x
  3. Step 3: Cross multiply
    9,156,512.25x = 14,171,562 × 14,171,562
  4. Step 4: Simplify right side
    9,156,512.25x = 200,833,169,519,844
  5. Step 5: Solve for x
    x = 200,833,169,519,844/9,156,512.25
  6. Step 6: Final answer
    x = 21,933,369.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.