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Finding the Third Proportional to 5,108,296 and 11,013,848

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Solution

The third proportional to 5,108,296 and 11,013,848 is: 23,746,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,296 : 11,013,848 = 11,013,848 : x
  2. Step 2: Convert to fraction form
    5,108,296/11,013,848 = 11,013,848/x
  3. Step 3: Cross multiply
    5,108,296x = 11,013,848 × 11,013,848
  4. Step 4: Simplify right side
    5,108,296x = 121,304,847,767,104
  5. Step 5: Solve for x
    x = 121,304,847,767,104/5,108,296
  6. Step 6: Final answer
    x = 23,746,636.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.