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Finding the Third Proportional to 12,339,109,978 and 18,797,780,536

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Solution

The third proportional to 12,339,109,978 and 18,797,780,536 is: 28,637,118,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339,109,978 : 18,797,780,536 = 18,797,780,536 : x
  2. Step 2: Convert to fraction form
    12,339,109,978/18,797,780,536 = 18,797,780,536/x
  3. Step 3: Cross multiply
    12,339,109,978x = 18,797,780,536 × 18,797,780,536
  4. Step 4: Simplify right side
    12,339,109,978x = 353,356,553,079,620,435,968
  5. Step 5: Solve for x
    x = 353,356,553,079,620,435,968/12,339,109,978
  6. Step 6: Final answer
    x = 28,637,118,374.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.