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Finding the Third Proportional to 6,675,420.09 and 13,704,724.13

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Solution

The third proportional to 6,675,420.09 and 13,704,724.13 is: 28,135,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,420.09 : 13,704,724.13 = 13,704,724.13 : x
  2. Step 2: Convert to fraction form
    6,675,420.09/13,704,724.13 = 13,704,724.13/x
  3. Step 3: Cross multiply
    6,675,420.09x = 13,704,724.13 × 13,704,724.13
  4. Step 4: Simplify right side
    6,675,420.09x = 187,819,463,342,357
  5. Step 5: Solve for x
    x = 187,819,463,342,357/6,675,420.09
  6. Step 6: Final answer
    x = 28,135,976.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.