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Finding the Third Proportional to 9,786,968 and 20,262,112

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Solution

The third proportional to 9,786,968 and 20,262,112 is: 41,948,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,968 : 20,262,112 = 20,262,112 : x
  2. Step 2: Convert to fraction form
    9,786,968/20,262,112 = 20,262,112/x
  3. Step 3: Cross multiply
    9,786,968x = 20,262,112 × 20,262,112
  4. Step 4: Simplify right side
    9,786,968x = 410,553,182,700,544
  5. Step 5: Solve for x
    x = 410,553,182,700,544/9,786,968
  6. Step 6: Final answer
    x = 41,948,965.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.