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Finding the Third Proportional to 10,954,503 and 17,051,793.75

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Solution

The third proportional to 10,954,503 and 17,051,793.75 is: 26,542,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954,503 : 17,051,793.75 = 17,051,793.75 : x
  2. Step 2: Convert to fraction form
    10,954,503/17,051,793.75 = 17,051,793.75/x
  3. Step 3: Cross multiply
    10,954,503x = 17,051,793.75 × 17,051,793.75
  4. Step 4: Simplify right side
    10,954,503x = 290,763,670,092,539.06
  5. Step 5: Solve for x
    x = 290,763,670,092,539.06/10,954,503
  6. Step 6: Final answer
    x = 26,542,844.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.