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Finding the Third Proportional to 7,613,784 and 16,482,096

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Solution

The third proportional to 7,613,784 and 16,482,096 is: 35,679,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613,784 : 16,482,096 = 16,482,096 : x
  2. Step 2: Convert to fraction form
    7,613,784/16,482,096 = 16,482,096/x
  3. Step 3: Cross multiply
    7,613,784x = 16,482,096 × 16,482,096
  4. Step 4: Simplify right side
    7,613,784x = 271,659,488,553,216
  5. Step 5: Solve for x
    x = 271,659,488,553,216/7,613,784
  6. Step 6: Final answer
    x = 35,679,957.37

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Why These Related Problems?

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