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Finding the Third Proportional to 12,523,833,864 and 26,840,416,716

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Solution

The third proportional to 12,523,833,864 and 26,840,416,716 is: 57,522,958,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523,833,864 : 26,840,416,716 = 26,840,416,716 : x
  2. Step 2: Convert to fraction form
    12,523,833,864/26,840,416,716 = 26,840,416,716/x
  3. Step 3: Cross multiply
    12,523,833,864x = 26,840,416,716 × 26,840,416,716
  4. Step 4: Simplify right side
    12,523,833,864x = 720,407,969,488,532,275,200
  5. Step 5: Solve for x
    x = 720,407,969,488,532,275,200/12,523,833,864
  6. Step 6: Final answer
    x = 57,522,958,010.43

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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.