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Finding the Third Proportional to 7,862,238 and 11,848,761

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Solution

The third proportional to 7,862,238 and 11,848,761 is: 17,856,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,238 : 11,848,761 = 11,848,761 : x
  2. Step 2: Convert to fraction form
    7,862,238/11,848,761 = 11,848,761/x
  3. Step 3: Cross multiply
    7,862,238x = 11,848,761 × 11,848,761
  4. Step 4: Simplify right side
    7,862,238x = 140,393,137,235,121
  5. Step 5: Solve for x
    x = 140,393,137,235,121/7,862,238
  6. Step 6: Final answer
    x = 17,856,637.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.