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Finding the Third Proportional to 12,954,375,999 and 19,902,967,128

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Solution

The third proportional to 12,954,375,999 and 19,902,967,128 is: 30,578,709,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954,375,999 : 19,902,967,128 = 19,902,967,128 : x
  2. Step 2: Convert to fraction form
    12,954,375,999/19,902,967,128 = 19,902,967,128/x
  3. Step 3: Cross multiply
    12,954,375,999x = 19,902,967,128 × 19,902,967,128
  4. Step 4: Simplify right side
    12,954,375,999x = 396,128,100,498,248,564,736
  5. Step 5: Solve for x
    x = 396,128,100,498,248,564,736/12,954,375,999
  6. Step 6: Final answer
    x = 30,578,709,505.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.