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Finding the Third Proportional to 9,351,564 and 20,147,736

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Solution

The third proportional to 9,351,564 and 20,147,736 is: 43,407,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351,564 : 20,147,736 = 20,147,736 : x
  2. Step 2: Convert to fraction form
    9,351,564/20,147,736 = 20,147,736/x
  3. Step 3: Cross multiply
    9,351,564x = 20,147,736 × 20,147,736
  4. Step 4: Simplify right side
    9,351,564x = 405,931,265,925,696
  5. Step 5: Solve for x
    x = 405,931,265,925,696/9,351,564
  6. Step 6: Final answer
    x = 43,407,847.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.