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Finding the Third Proportional to 8,093,912 and 17,341,657

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Solution

The third proportional to 8,093,912 and 17,341,657 is: 37,155,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093,912 : 17,341,657 = 17,341,657 : x
  2. Step 2: Convert to fraction form
    8,093,912/17,341,657 = 17,341,657/x
  3. Step 3: Cross multiply
    8,093,912x = 17,341,657 × 17,341,657
  4. Step 4: Simplify right side
    8,093,912x = 300,733,067,505,649
  5. Step 5: Solve for x
    x = 300,733,067,505,649/8,093,912
  6. Step 6: Final answer
    x = 37,155,465.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.