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Finding the Third Proportional to 20,770,670 and 45,198,706

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Solution

The third proportional to 20,770,670 and 45,198,706 is: 98,356,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770,670 : 45,198,706 = 45,198,706 : x
  2. Step 2: Convert to fraction form
    20,770,670/45,198,706 = 45,198,706/x
  3. Step 3: Cross multiply
    20,770,670x = 45,198,706 × 45,198,706
  4. Step 4: Simplify right side
    20,770,670x = 2,042,923,024,074,436
  5. Step 5: Solve for x
    x = 2,042,923,024,074,436/20,770,670
  6. Step 6: Final answer
    x = 98,356,144.70

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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.