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Finding the Third Proportional to 7,454,993 and 16,305,775

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Solution

The third proportional to 7,454,993 and 16,305,775 is: 35,664,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454,993 : 16,305,775 = 16,305,775 : x
  2. Step 2: Convert to fraction form
    7,454,993/16,305,775 = 16,305,775/x
  3. Step 3: Cross multiply
    7,454,993x = 16,305,775 × 16,305,775
  4. Step 4: Simplify right side
    7,454,993x = 265,878,298,350,625
  5. Step 5: Solve for x
    x = 265,878,298,350,625/7,454,993
  6. Step 6: Final answer
    x = 35,664,459.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.