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Finding the Third Proportional to 3,194,766,651,424 and 6,478,431,416,684

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Solution

The third proportional to 3,194,766,651,424 and 6,478,431,416,684 is: 13,137,132,754,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,766,651,424 : 6,478,431,416,684 = 6,478,431,416,684 : x
  2. Step 2: Convert to fraction form
    3,194,766,651,424/6,478,431,416,684 = 6,478,431,416,684/x
  3. Step 3: Cross multiply
    3,194,766,651,424x = 6,478,431,416,684 × 6,478,431,416,684
  4. Step 4: Simplify right side
    3,194,766,651,424x = 41,970,073,620,678,260,706,770,944
  5. Step 5: Solve for x
    x = 41,970,073,620,678,260,706,770,944/3,194,766,651,424
  6. Step 6: Final answer
    x = 13,137,132,754,898.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.