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Finding the Third Proportional to 16,824,256 and 36,600,960

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Solution

The third proportional to 16,824,256 and 36,600,960 is: 79,624,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824,256 : 36,600,960 = 36,600,960 : x
  2. Step 2: Convert to fraction form
    16,824,256/36,600,960 = 36,600,960/x
  3. Step 3: Cross multiply
    16,824,256x = 36,600,960 × 36,600,960
  4. Step 4: Simplify right side
    16,824,256x = 1,339,630,272,921,600
  5. Step 5: Solve for x
    x = 1,339,630,272,921,600/16,824,256
  6. Step 6: Final answer
    x = 79,624,933.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.