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Finding the Third Proportional to 6,835,317.75 and 16,135,407

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Solution

The third proportional to 6,835,317.75 and 16,135,407 is: 38,089,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,317.75 : 16,135,407 = 16,135,407 : x
  2. Step 2: Convert to fraction form
    6,835,317.75/16,135,407 = 16,135,407/x
  3. Step 3: Cross multiply
    6,835,317.75x = 16,135,407 × 16,135,407
  4. Step 4: Simplify right side
    6,835,317.75x = 260,351,359,055,649
  5. Step 5: Solve for x
    x = 260,351,359,055,649/6,835,317.75
  6. Step 6: Final answer
    x = 38,089,137.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.