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Finding the Third Proportional to 12,543,198 and 26,593,602

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Solution

The third proportional to 12,543,198 and 26,593,602 is: 56,382,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543,198 : 26,593,602 = 26,593,602 : x
  2. Step 2: Convert to fraction form
    12,543,198/26,593,602 = 26,593,602/x
  3. Step 3: Cross multiply
    12,543,198x = 26,593,602 × 26,593,602
  4. Step 4: Simplify right side
    12,543,198x = 707,219,667,334,404
  5. Step 5: Solve for x
    x = 707,219,667,334,404/12,543,198
  6. Step 6: Final answer
    x = 56,382,723.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.