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Finding the Third Proportional to 3,853,823 and 8,470,570

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Solution

The third proportional to 3,853,823 and 8,470,570 is: 18,618,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853,823 : 8,470,570 = 8,470,570 : x
  2. Step 2: Convert to fraction form
    3,853,823/8,470,570 = 8,470,570/x
  3. Step 3: Cross multiply
    3,853,823x = 8,470,570 × 8,470,570
  4. Step 4: Simplify right side
    3,853,823x = 71,750,556,124,900
  5. Step 5: Solve for x
    x = 71,750,556,124,900/3,853,823
  6. Step 6: Final answer
    x = 18,618,020.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.