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Finding the Third Proportional to 6,505,632 and 13,743,668

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Solution

The third proportional to 6,505,632 and 13,743,668 is: 29,034,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505,632 : 13,743,668 = 13,743,668 : x
  2. Step 2: Convert to fraction form
    6,505,632/13,743,668 = 13,743,668/x
  3. Step 3: Cross multiply
    6,505,632x = 13,743,668 × 13,743,668
  4. Step 4: Simplify right side
    6,505,632x = 188,888,410,094,224
  5. Step 5: Solve for x
    x = 188,888,410,094,224/6,505,632
  6. Step 6: Final answer
    x = 29,034,598.04

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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.