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Finding the Third Proportional to 4,194,085 and 9,173,176

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Solution

The third proportional to 4,194,085 and 9,173,176 is: 20,063,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,085 : 9,173,176 = 9,173,176 : x
  2. Step 2: Convert to fraction form
    4,194,085/9,173,176 = 9,173,176/x
  3. Step 3: Cross multiply
    4,194,085x = 9,173,176 × 9,173,176
  4. Step 4: Simplify right side
    4,194,085x = 84,147,157,926,976
  5. Step 5: Solve for x
    x = 84,147,157,926,976/4,194,085
  6. Step 6: Final answer
    x = 20,063,293.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.