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Finding the Third Proportional to 7,548,147 and 16,291,388.25

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Solution

The third proportional to 7,548,147 and 16,291,388.25 is: 35,162,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548,147 : 16,291,388.25 = 16,291,388.25 : x
  2. Step 2: Convert to fraction form
    7,548,147/16,291,388.25 = 16,291,388.25/x
  3. Step 3: Cross multiply
    7,548,147x = 16,291,388.25 × 16,291,388.25
  4. Step 4: Simplify right side
    7,548,147x = 265,409,331,112,238.06
  5. Step 5: Solve for x
    x = 265,409,331,112,238.06/7,548,147
  6. Step 6: Final answer
    x = 35,162,183.66

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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.