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Finding the Third Proportional to 5,758,416 and 13,331,016

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Solution

The third proportional to 5,758,416 and 13,331,016 is: 30,861,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,416 : 13,331,016 = 13,331,016 : x
  2. Step 2: Convert to fraction form
    5,758,416/13,331,016 = 13,331,016/x
  3. Step 3: Cross multiply
    5,758,416x = 13,331,016 × 13,331,016
  4. Step 4: Simplify right side
    5,758,416x = 177,715,987,592,256
  5. Step 5: Solve for x
    x = 177,715,987,592,256/5,758,416
  6. Step 6: Final answer
    x = 30,861,957.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.