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Finding the Third Proportional to 5,452,749 and 11,469,582

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Solution

The third proportional to 5,452,749 and 11,469,582 is: 24,125,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452,749 : 11,469,582 = 11,469,582 : x
  2. Step 2: Convert to fraction form
    5,452,749/11,469,582 = 11,469,582/x
  3. Step 3: Cross multiply
    5,452,749x = 11,469,582 × 11,469,582
  4. Step 4: Simplify right side
    5,452,749x = 131,551,311,254,724
  5. Step 5: Solve for x
    x = 131,551,311,254,724/5,452,749
  6. Step 6: Final answer
    x = 24,125,686.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.