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Finding the Third Proportional to 3,647,106 and 8,442,396

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Solution

The third proportional to 3,647,106 and 8,442,396 is: 19,542,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,106 : 8,442,396 = 8,442,396 : x
  2. Step 2: Convert to fraction form
    3,647,106/8,442,396 = 8,442,396/x
  3. Step 3: Cross multiply
    3,647,106x = 8,442,396 × 8,442,396
  4. Step 4: Simplify right side
    3,647,106x = 71,274,050,220,816
  5. Step 5: Solve for x
    x = 71,274,050,220,816/3,647,106
  6. Step 6: Final answer
    x = 19,542,631.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.