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Finding the Third Proportional to 350,121,218 and 810,467,243

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Solution

The third proportional to 350,121,218 and 810,467,243 is: 1,876,084,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,121,218 : 810,467,243 = 810,467,243 : x
  2. Step 2: Convert to fraction form
    350,121,218/810,467,243 = 810,467,243/x
  3. Step 3: Cross multiply
    350,121,218x = 810,467,243 × 810,467,243
  4. Step 4: Simplify right side
    350,121,218x = 656,857,151,976,020,992
  5. Step 5: Solve for x
    x = 656,857,151,976,020,992/350,121,218
  6. Step 6: Final answer
    x = 1,876,084,962.03

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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.