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Finding the Third Proportional to 349,821,540 and 765,542,087

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Solution

The third proportional to 349,821,540 and 765,542,087 is: 1,675,296,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,821,540 : 765,542,087 = 765,542,087 : x
  2. Step 2: Convert to fraction form
    349,821,540/765,542,087 = 765,542,087/x
  3. Step 3: Cross multiply
    349,821,540x = 765,542,087 × 765,542,087
  4. Step 4: Simplify right side
    349,821,540x = 586,054,686,968,315,520
  5. Step 5: Solve for x
    x = 586,054,686,968,315,520/349,821,540
  6. Step 6: Final answer
    x = 1,675,296,172.35

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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.