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Finding the Third Proportional to 3,689,216 and 8,024,576

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Solution

The third proportional to 3,689,216 and 8,024,576 is: 17,454,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689,216 : 8,024,576 = 8,024,576 : x
  2. Step 2: Convert to fraction form
    3,689,216/8,024,576 = 8,024,576/x
  3. Step 3: Cross multiply
    3,689,216x = 8,024,576 × 8,024,576
  4. Step 4: Simplify right side
    3,689,216x = 64,393,819,979,776
  5. Step 5: Solve for x
    x = 64,393,819,979,776/3,689,216
  6. Step 6: Final answer
    x = 17,454,608.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.