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Finding the Third Proportional to 39,079,107 and 83,536,317

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Solution

The third proportional to 39,079,107 and 83,536,317 is: 178,568,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,079,107 : 83,536,317 = 83,536,317 : x
  2. Step 2: Convert to fraction form
    39,079,107/83,536,317 = 83,536,317/x
  3. Step 3: Cross multiply
    39,079,107x = 83,536,317 × 83,536,317
  4. Step 4: Simplify right side
    39,079,107x = 6,978,316,257,924,489
  5. Step 5: Solve for x
    x = 6,978,316,257,924,489/39,079,107
  6. Step 6: Final answer
    x = 178,568,979.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.