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Finding the Third Proportional to 6,505,634 and 13,743,672

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Solution

The third proportional to 6,505,634 and 13,743,672 is: 29,034,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505,634 : 13,743,672 = 13,743,672 : x
  2. Step 2: Convert to fraction form
    6,505,634/13,743,672 = 13,743,672/x
  3. Step 3: Cross multiply
    6,505,634x = 13,743,672 × 13,743,672
  4. Step 4: Simplify right side
    6,505,634x = 188,888,520,043,584
  5. Step 5: Solve for x
    x = 188,888,520,043,584/6,505,634
  6. Step 6: Final answer
    x = 29,034,606.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.