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Finding the Third Proportional to 7,951,131 and 17,464,284

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Solution

The third proportional to 7,951,131 and 17,464,284 is: 38,359,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951,131 : 17,464,284 = 17,464,284 : x
  2. Step 2: Convert to fraction form
    7,951,131/17,464,284 = 17,464,284/x
  3. Step 3: Cross multiply
    7,951,131x = 17,464,284 × 17,464,284
  4. Step 4: Simplify right side
    7,951,131x = 305,001,215,632,656
  5. Step 5: Solve for x
    x = 305,001,215,632,656/7,951,131
  6. Step 6: Final answer
    x = 38,359,475.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.