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Finding the Third Proportional to 13,976,064 and 20,964,096

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Solution

The third proportional to 13,976,064 and 20,964,096 is: 31,446,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976,064 : 20,964,096 = 20,964,096 : x
  2. Step 2: Convert to fraction form
    13,976,064/20,964,096 = 20,964,096/x
  3. Step 3: Cross multiply
    13,976,064x = 20,964,096 × 20,964,096
  4. Step 4: Simplify right side
    13,976,064x = 439,493,321,097,216
  5. Step 5: Solve for x
    x = 439,493,321,097,216/13,976,064
  6. Step 6: Final answer
    x = 31,446,144

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.