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Finding the Third Proportional to 3,438,388,339,236 and 7,359,788,523,024

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Solution

The third proportional to 3,438,388,339,236 and 7,359,788,523,024 is: 15,753,452,419,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438,388,339,236 : 7,359,788,523,024 = 7,359,788,523,024 : x
  2. Step 2: Convert to fraction form
    3,438,388,339,236/7,359,788,523,024 = 7,359,788,523,024/x
  3. Step 3: Cross multiply
    3,438,388,339,236x = 7,359,788,523,024 × 7,359,788,523,024
  4. Step 4: Simplify right side
    3,438,388,339,236x = 54,166,487,103,635,792,383,180,800
  5. Step 5: Solve for x
    x = 54,166,487,103,635,792,383,180,800/3,438,388,339,236
  6. Step 6: Final answer
    x = 15,753,452,419,999.61

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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.