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Finding the Third Proportional to 6,605,138 and 13,663,375

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Solution

The third proportional to 6,605,138 and 13,663,375 is: 28,264,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605,138 : 13,663,375 = 13,663,375 : x
  2. Step 2: Convert to fraction form
    6,605,138/13,663,375 = 13,663,375/x
  3. Step 3: Cross multiply
    6,605,138x = 13,663,375 × 13,663,375
  4. Step 4: Simplify right side
    6,605,138x = 186,687,816,390,625
  5. Step 5: Solve for x
    x = 186,687,816,390,625/6,605,138
  6. Step 6: Final answer
    x = 28,264,029.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.