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Finding the Third Proportional to 6,377,375 and 9,684,161

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Solution

The third proportional to 6,377,375 and 9,684,161 is: 14,705,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,375 : 9,684,161 = 9,684,161 : x
  2. Step 2: Convert to fraction form
    6,377,375/9,684,161 = 9,684,161/x
  3. Step 3: Cross multiply
    6,377,375x = 9,684,161 × 9,684,161
  4. Step 4: Simplify right side
    6,377,375x = 93,782,974,273,921
  5. Step 5: Solve for x
    x = 93,782,974,273,921/6,377,375
  6. Step 6: Final answer
    x = 14,705,576.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.