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Finding the Third Proportional to 6,467,202 and 10,145,115.75

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Solution

The third proportional to 6,467,202 and 10,145,115.75 is: 15,914,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,202 : 10,145,115.75 = 10,145,115.75 : x
  2. Step 2: Convert to fraction form
    6,467,202/10,145,115.75 = 10,145,115.75/x
  3. Step 3: Cross multiply
    6,467,202x = 10,145,115.75 × 10,145,115.75
  4. Step 4: Simplify right side
    6,467,202x = 102,923,373,580,898.06
  5. Step 5: Solve for x
    x = 102,923,373,580,898.06/6,467,202
  6. Step 6: Final answer
    x = 15,914,668.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.