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Finding the Third Proportional to 7,848,198 and 11,461,743

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Solution

The third proportional to 7,848,198 and 11,461,743 is: 16,739,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848,198 : 11,461,743 = 11,461,743 : x
  2. Step 2: Convert to fraction form
    7,848,198/11,461,743 = 11,461,743/x
  3. Step 3: Cross multiply
    7,848,198x = 11,461,743 × 11,461,743
  4. Step 4: Simplify right side
    7,848,198x = 131,371,552,598,049
  5. Step 5: Solve for x
    x = 131,371,552,598,049/7,848,198
  6. Step 6: Final answer
    x = 16,739,072.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.