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Finding the Third Proportional to 3,940,576 and 8,509,840

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Solution

The third proportional to 3,940,576 and 8,509,840 is: 18,377,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,576 : 8,509,840 = 8,509,840 : x
  2. Step 2: Convert to fraction form
    3,940,576/8,509,840 = 8,509,840/x
  3. Step 3: Cross multiply
    3,940,576x = 8,509,840 × 8,509,840
  4. Step 4: Simplify right side
    3,940,576x = 72,417,376,825,600
  5. Step 5: Solve for x
    x = 72,417,376,825,600/3,940,576
  6. Step 6: Final answer
    x = 18,377,358.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.