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Finding the Third Proportional to 30,192,726 and 65,165,856

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Solution

The third proportional to 30,192,726 and 65,165,856 is: 140,649,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192,726 : 65,165,856 = 65,165,856 : x
  2. Step 2: Convert to fraction form
    30,192,726/65,165,856 = 65,165,856/x
  3. Step 3: Cross multiply
    30,192,726x = 65,165,856 × 65,165,856
  4. Step 4: Simplify right side
    30,192,726x = 4,246,588,788,212,736
  5. Step 5: Solve for x
    x = 4,246,588,788,212,736/30,192,726
  6. Step 6: Final answer
    x = 140,649,399.73

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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.