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Finding the Third Proportional to 11,973,108 and 21,286,824

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Solution

The third proportional to 11,973,108 and 21,286,824 is: 37,845,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973,108 : 21,286,824 = 21,286,824 : x
  2. Step 2: Convert to fraction form
    11,973,108/21,286,824 = 21,286,824/x
  3. Step 3: Cross multiply
    11,973,108x = 21,286,824 × 21,286,824
  4. Step 4: Simplify right side
    11,973,108x = 453,128,876,006,976
  5. Step 5: Solve for x
    x = 453,128,876,006,976/11,973,108
  6. Step 6: Final answer
    x = 37,845,551.55

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.