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Finding the Third Proportional to 5,452,746 and 11,469,575

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Solution

The third proportional to 5,452,746 and 11,469,575 is: 24,125,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452,746 : 11,469,575 = 11,469,575 : x
  2. Step 2: Convert to fraction form
    5,452,746/11,469,575 = 11,469,575/x
  3. Step 3: Cross multiply
    5,452,746x = 11,469,575 × 11,469,575
  4. Step 4: Simplify right side
    5,452,746x = 131,551,150,680,625
  5. Step 5: Solve for x
    x = 131,551,150,680,625/5,452,746
  6. Step 6: Final answer
    x = 24,125,670.02

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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.