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Finding the Third Proportional to 1,083,635,710 and 2,374,297,214

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Solution

The third proportional to 1,083,635,710 and 2,374,297,214 is: 5,202,197,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,635,710 : 2,374,297,214 = 2,374,297,214 : x
  2. Step 2: Convert to fraction form
    1,083,635,710/2,374,297,214 = 2,374,297,214/x
  3. Step 3: Cross multiply
    1,083,635,710x = 2,374,297,214 × 2,374,297,214
  4. Step 4: Simplify right side
    1,083,635,710x = 5,637,287,260,408,162,304
  5. Step 5: Solve for x
    x = 5,637,287,260,408,162,304/1,083,635,710
  6. Step 6: Final answer
    x = 5,202,197,757.41

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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.