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Finding the Third Proportional to 349,821,579 and 765,542,160

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Solution

The third proportional to 349,821,579 and 765,542,160 is: 1,675,296,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,821,579 : 765,542,160 = 765,542,160 : x
  2. Step 2: Convert to fraction form
    349,821,579/765,542,160 = 765,542,160/x
  3. Step 3: Cross multiply
    349,821,579x = 765,542,160 × 765,542,160
  4. Step 4: Simplify right side
    349,821,579x = 586,054,798,737,465,600
  5. Step 5: Solve for x
    x = 586,054,798,737,465,600/349,821,579
  6. Step 6: Final answer
    x = 1,675,296,305.08

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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.