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Finding the Third Proportional to 12,162,453.75 and 16,381,996.88

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Solution

The third proportional to 12,162,453.75 and 16,381,996.88 is: 22,065,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162,453.75 : 16,381,996.88 = 16,381,996.88 : x
  2. Step 2: Convert to fraction form
    12,162,453.75/16,381,996.88 = 16,381,996.88/x
  3. Step 3: Cross multiply
    12,162,453.75x = 16,381,996.88 × 16,381,996.88
  4. Step 4: Simplify right side
    12,162,453.75x = 268,369,821,612,509.75
  5. Step 5: Solve for x
    x = 268,369,821,612,509.75/12,162,453.75
  6. Step 6: Final answer
    x = 22,065,434.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.