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Finding the Third Proportional to 9,747,122 and 21,121,372

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Solution

The third proportional to 9,747,122 and 21,121,372 is: 45,768,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747,122 : 21,121,372 = 21,121,372 : x
  2. Step 2: Convert to fraction form
    9,747,122/21,121,372 = 21,121,372/x
  3. Step 3: Cross multiply
    9,747,122x = 21,121,372 × 21,121,372
  4. Step 4: Simplify right side
    9,747,122x = 446,112,355,162,384
  5. Step 5: Solve for x
    x = 446,112,355,162,384/9,747,122
  6. Step 6: Final answer
    x = 45,768,623.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.