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Finding the Third Proportional to 9,206,948 and 13,938,375

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Solution

The third proportional to 9,206,948 and 13,938,375 is: 21,101,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206,948 : 13,938,375 = 13,938,375 : x
  2. Step 2: Convert to fraction form
    9,206,948/13,938,375 = 13,938,375/x
  3. Step 3: Cross multiply
    9,206,948x = 13,938,375 × 13,938,375
  4. Step 4: Simplify right side
    9,206,948x = 194,278,297,640,625
  5. Step 5: Solve for x
    x = 194,278,297,640,625/9,206,948
  6. Step 6: Final answer
    x = 21,101,270.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.