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Finding the Third Proportional to 4,540,400 and 9,686,946

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Solution

The third proportional to 4,540,400 and 9,686,946 is: 20,667,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,400 : 9,686,946 = 9,686,946 : x
  2. Step 2: Convert to fraction form
    4,540,400/9,686,946 = 9,686,946/x
  3. Step 3: Cross multiply
    4,540,400x = 9,686,946 × 9,686,946
  4. Step 4: Simplify right side
    4,540,400x = 93,836,922,806,916
  5. Step 5: Solve for x
    x = 93,836,922,806,916/4,540,400
  6. Step 6: Final answer
    x = 20,667,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.