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Finding the Third Proportional to 5,401,138 and 11,772,872

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Solution

The third proportional to 5,401,138 and 11,772,872 is: 25,661,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401,138 : 11,772,872 = 11,772,872 : x
  2. Step 2: Convert to fraction form
    5,401,138/11,772,872 = 11,772,872/x
  3. Step 3: Cross multiply
    5,401,138x = 11,772,872 × 11,772,872
  4. Step 4: Simplify right side
    5,401,138x = 138,600,515,128,384
  5. Step 5: Solve for x
    x = 138,600,515,128,384/5,401,138
  6. Step 6: Final answer
    x = 25,661,354.17

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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.