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Finding the Third Proportional to 5,522,019.75 and 12,897,164.25

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Solution

The third proportional to 5,522,019.75 and 12,897,164.25 is: 30,122,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522,019.75 : 12,897,164.25 = 12,897,164.25 : x
  2. Step 2: Convert to fraction form
    5,522,019.75/12,897,164.25 = 12,897,164.25/x
  3. Step 3: Cross multiply
    5,522,019.75x = 12,897,164.25 × 12,897,164.25
  4. Step 4: Simplify right side
    5,522,019.75x = 166,336,845,691,478.06
  5. Step 5: Solve for x
    x = 166,336,845,691,478.06/5,522,019.75
  6. Step 6: Final answer
    x = 30,122,464.83

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.