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Finding the Third Proportional to 2,395,611,321,234 and 5,326,847,145,858

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Solution

The third proportional to 2,395,611,321,234 and 5,326,847,145,858 is: 11,844,701,293,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395,611,321,234 : 5,326,847,145,858 = 5,326,847,145,858 : x
  2. Step 2: Convert to fraction form
    2,395,611,321,234/5,326,847,145,858 = 5,326,847,145,858/x
  3. Step 3: Cross multiply
    2,395,611,321,234x = 5,326,847,145,858 × 5,326,847,145,858
  4. Step 4: Simplify right side
    2,395,611,321,234x = 28,375,300,515,335,521,286,750,208
  5. Step 5: Solve for x
    x = 28,375,300,515,335,521,286,750,208/2,395,611,321,234
  6. Step 6: Final answer
    x = 11,844,701,293,496.63

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Why These Related Problems?

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