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Finding the Third Proportional to 11,977,034 and 18,409,755

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Solution

The third proportional to 11,977,034 and 18,409,755 is: 28,297,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977,034 : 18,409,755 = 18,409,755 : x
  2. Step 2: Convert to fraction form
    11,977,034/18,409,755 = 18,409,755/x
  3. Step 3: Cross multiply
    11,977,034x = 18,409,755 × 18,409,755
  4. Step 4: Simplify right side
    11,977,034x = 338,919,079,160,025
  5. Step 5: Solve for x
    x = 338,919,079,160,025/11,977,034
  6. Step 6: Final answer
    x = 28,297,413.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.