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Finding the Third Proportional to 20,770,706 and 45,198,814

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Solution

The third proportional to 20,770,706 and 45,198,814 is: 98,356,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770,706 : 45,198,814 = 45,198,814 : x
  2. Step 2: Convert to fraction form
    20,770,706/45,198,814 = 45,198,814/x
  3. Step 3: Cross multiply
    20,770,706x = 45,198,814 × 45,198,814
  4. Step 4: Simplify right side
    20,770,706x = 2,042,932,787,006,596
  5. Step 5: Solve for x
    x = 2,042,932,787,006,596/20,770,706
  6. Step 6: Final answer
    x = 98,356,444.26

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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.