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Finding the Third Proportional to 3,613,182 and 7,856,214

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Solution

The third proportional to 3,613,182 and 7,856,214 is: 17,081,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,182 : 7,856,214 = 7,856,214 : x
  2. Step 2: Convert to fraction form
    3,613,182/7,856,214 = 7,856,214/x
  3. Step 3: Cross multiply
    3,613,182x = 7,856,214 × 7,856,214
  4. Step 4: Simplify right side
    3,613,182x = 61,720,098,413,796
  5. Step 5: Solve for x
    x = 61,720,098,413,796/3,613,182
  6. Step 6: Final answer
    x = 17,081,923.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.