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Finding the Third Proportional to 5,359,563 and 11,682,774

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Solution

The third proportional to 5,359,563 and 11,682,774 is: 25,466,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359,563 : 11,682,774 = 11,682,774 : x
  2. Step 2: Convert to fraction form
    5,359,563/11,682,774 = 11,682,774/x
  3. Step 3: Cross multiply
    5,359,563x = 11,682,774 × 11,682,774
  4. Step 4: Simplify right side
    5,359,563x = 136,487,208,335,076
  5. Step 5: Solve for x
    x = 136,487,208,335,076/5,359,563
  6. Step 6: Final answer
    x = 25,466,107.65

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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.