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Finding the Third Proportional to 9,992,419 and 21,791,982

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Solution

The third proportional to 9,992,419 and 21,791,982 is: 47,525,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992,419 : 21,791,982 = 21,791,982 : x
  2. Step 2: Convert to fraction form
    9,992,419/21,791,982 = 21,791,982/x
  3. Step 3: Cross multiply
    9,992,419x = 21,791,982 × 21,791,982
  4. Step 4: Simplify right side
    9,992,419x = 474,890,479,488,324
  5. Step 5: Solve for x
    x = 474,890,479,488,324/9,992,419
  6. Step 6: Final answer
    x = 47,525,076.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.