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Finding the Third Proportional to 5,383,824 and 11,612,964

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Solution

The third proportional to 5,383,824 and 11,612,964 is: 25,049,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383,824 : 11,612,964 = 11,612,964 : x
  2. Step 2: Convert to fraction form
    5,383,824/11,612,964 = 11,612,964/x
  3. Step 3: Cross multiply
    5,383,824x = 11,612,964 × 11,612,964
  4. Step 4: Simplify right side
    5,383,824x = 134,860,932,865,296
  5. Step 5: Solve for x
    x = 134,860,932,865,296/5,383,824
  6. Step 6: Final answer
    x = 25,049,283.35

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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.