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Finding the Third Proportional to 6,543,668 and 13,927,144

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Solution

The third proportional to 6,543,668 and 13,927,144 is: 29,641,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,668 : 13,927,144 = 13,927,144 : x
  2. Step 2: Convert to fraction form
    6,543,668/13,927,144 = 13,927,144/x
  3. Step 3: Cross multiply
    6,543,668x = 13,927,144 × 13,927,144
  4. Step 4: Simplify right side
    6,543,668x = 193,965,339,996,736
  5. Step 5: Solve for x
    x = 193,965,339,996,736/6,543,668
  6. Step 6: Final answer
    x = 29,641,684.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.