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Finding the Third Proportional to 350,121,216 and 810,467,238

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Solution

The third proportional to 350,121,216 and 810,467,238 is: 1,876,084,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,121,216 : 810,467,238 = 810,467,238 : x
  2. Step 2: Convert to fraction form
    350,121,216/810,467,238 = 810,467,238/x
  3. Step 3: Cross multiply
    350,121,216x = 810,467,238 × 810,467,238
  4. Step 4: Simplify right side
    350,121,216x = 656,857,143,871,348,608
  5. Step 5: Solve for x
    x = 656,857,143,871,348,608/350,121,216
  6. Step 6: Final answer
    x = 1,876,084,949.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.