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Finding the Third Proportional to 16,034,601 and 21,784,977

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Solution

The third proportional to 16,034,601 and 21,784,977 is: 29,597,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034,601 : 21,784,977 = 21,784,977 : x
  2. Step 2: Convert to fraction form
    16,034,601/21,784,977 = 21,784,977/x
  3. Step 3: Cross multiply
    16,034,601x = 21,784,977 × 21,784,977
  4. Step 4: Simplify right side
    16,034,601x = 474,585,222,890,529
  5. Step 5: Solve for x
    x = 474,585,222,890,529/16,034,601
  6. Step 6: Final answer
    x = 29,597,569.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.