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Finding the Third Proportional to 5,388,114 and 11,763,837

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Solution

The third proportional to 5,388,114 and 11,763,837 is: 25,683,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388,114 : 11,763,837 = 11,763,837 : x
  2. Step 2: Convert to fraction form
    5,388,114/11,763,837 = 11,763,837/x
  3. Step 3: Cross multiply
    5,388,114x = 11,763,837 × 11,763,837
  4. Step 4: Simplify right side
    5,388,114x = 138,387,860,962,569
  5. Step 5: Solve for x
    x = 138,387,860,962,569/5,388,114
  6. Step 6: Final answer
    x = 25,683,914.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.