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Finding the Third Proportional to 349,821,504 and 765,542,016

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Solution

The third proportional to 349,821,504 and 765,542,016 is: 1,675,296,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,821,504 : 765,542,016 = 765,542,016 : x
  2. Step 2: Convert to fraction form
    349,821,504/765,542,016 = 765,542,016/x
  3. Step 3: Cross multiply
    349,821,504x = 765,542,016 × 765,542,016
  4. Step 4: Simplify right side
    349,821,504x = 586,054,578,261,344,256
  5. Step 5: Solve for x
    x = 586,054,578,261,344,256/349,821,504
  6. Step 6: Final answer
    x = 1,675,296,034.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.