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Finding the Third Proportional to 9,891,462 and 20,845,642

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Solution

The third proportional to 9,891,462 and 20,845,642 is: 43,930,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891,462 : 20,845,642 = 20,845,642 : x
  2. Step 2: Convert to fraction form
    9,891,462/20,845,642 = 20,845,642/x
  3. Step 3: Cross multiply
    9,891,462x = 20,845,642 × 20,845,642
  4. Step 4: Simplify right side
    9,891,462x = 434,540,790,392,164
  5. Step 5: Solve for x
    x = 434,540,790,392,164/9,891,462
  6. Step 6: Final answer
    x = 43,930,896.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.