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Finding the Third Proportional to 1,083,635,706 and 2,374,297,206

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Solution

The third proportional to 1,083,635,706 and 2,374,297,206 is: 5,202,197,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,635,706 : 2,374,297,206 = 2,374,297,206 : x
  2. Step 2: Convert to fraction form
    1,083,635,706/2,374,297,206 = 2,374,297,206/x
  3. Step 3: Cross multiply
    1,083,635,706x = 2,374,297,206 × 2,374,297,206
  4. Step 4: Simplify right side
    1,083,635,706x = 5,637,287,222,419,406,848
  5. Step 5: Solve for x
    x = 5,637,287,222,419,406,848/1,083,635,706
  6. Step 6: Final answer
    x = 5,202,197,741.55

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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.