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Finding the Third Proportional to 6,428,596.50 and 13,389,741

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Solution

The third proportional to 6,428,596.50 and 13,389,741 is: 27,888,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,596.50 : 13,389,741 = 13,389,741 : x
  2. Step 2: Convert to fraction form
    6,428,596.50/13,389,741 = 13,389,741/x
  3. Step 3: Cross multiply
    6,428,596.50x = 13,389,741 × 13,389,741
  4. Step 4: Simplify right side
    6,428,596.50x = 179,285,164,047,081
  5. Step 5: Solve for x
    x = 179,285,164,047,081/6,428,596.50
  6. Step 6: Final answer
    x = 27,888,694.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.