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Finding the Third Proportional to 5,413,892 and 12,038,241

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Solution

The third proportional to 5,413,892 and 12,038,241 is: 26,768,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413,892 : 12,038,241 = 12,038,241 : x
  2. Step 2: Convert to fraction form
    5,413,892/12,038,241 = 12,038,241/x
  3. Step 3: Cross multiply
    5,413,892x = 12,038,241 × 12,038,241
  4. Step 4: Simplify right side
    5,413,892x = 144,919,246,374,081
  5. Step 5: Solve for x
    x = 144,919,246,374,081/5,413,892
  6. Step 6: Final answer
    x = 26,768,034.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.