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Finding the Third Proportional to 349,822,866 and 765,544,692

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Solution

The third proportional to 349,822,866 and 765,544,692 is: 1,675,301,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,866 : 765,544,692 = 765,544,692 : x
  2. Step 2: Convert to fraction form
    349,822,866/765,544,692 = 765,544,692/x
  3. Step 3: Cross multiply
    349,822,866x = 765,544,692 × 765,544,692
  4. Step 4: Simplify right side
    349,822,866x = 586,058,675,449,374,848
  5. Step 5: Solve for x
    x = 586,058,675,449,374,848/349,822,866
  6. Step 6: Final answer
    x = 1,675,301,223.59

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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.