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Finding the Third Proportional to 8,085,188,207,434.50 and 17,978,109,114,236

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Solution

The third proportional to 8,085,188,207,434.50 and 17,978,109,114,236 is: 39,975,866,860,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,188,207,434.50 : 17,978,109,114,236 = 17,978,109,114,236 : x
  2. Step 2: Convert to fraction form
    8,085,188,207,434.50/17,978,109,114,236 = 17,978,109,114,236/x
  3. Step 3: Cross multiply
    8,085,188,207,434.50x = 17,978,109,114,236 × 17,978,109,114,236
  4. Step 4: Simplify right side
    8,085,188,207,434.50x = 323,212,407,323,375,519,628,525,568
  5. Step 5: Solve for x
    x = 323,212,407,323,375,519,628,525,568/8,085,188,207,434.50
  6. Step 6: Final answer
    x = 39,975,866,860,609.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.