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Finding the Third Proportional to 4,315,682 and 9,444,096

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Solution

The third proportional to 4,315,682 and 9,444,096 is: 20,666,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315,682 : 9,444,096 = 9,444,096 : x
  2. Step 2: Convert to fraction form
    4,315,682/9,444,096 = 9,444,096/x
  3. Step 3: Cross multiply
    4,315,682x = 9,444,096 × 9,444,096
  4. Step 4: Simplify right side
    4,315,682x = 89,190,949,257,216
  5. Step 5: Solve for x
    x = 89,190,949,257,216/4,315,682
  6. Step 6: Final answer
    x = 20,666,710.21

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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.