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Finding the Third Proportional to 349,821,543 and 765,542,091

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Solution

The third proportional to 349,821,543 and 765,542,091 is: 1,675,296,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,821,543 : 765,542,091 = 765,542,091 : x
  2. Step 2: Convert to fraction form
    349,821,543/765,542,091 = 765,542,091/x
  3. Step 3: Cross multiply
    349,821,543x = 765,542,091 × 765,542,091
  4. Step 4: Simplify right side
    349,821,543x = 586,054,693,092,652,288
  5. Step 5: Solve for x
    x = 586,054,693,092,652,288/349,821,543
  6. Step 6: Final answer
    x = 1,675,296,175.49

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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.