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Finding the Third Proportional to 8,097,504 and 12,229,896

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Solution

The third proportional to 8,097,504 and 12,229,896 is: 18,471,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097,504 : 12,229,896 = 12,229,896 : x
  2. Step 2: Convert to fraction form
    8,097,504/12,229,896 = 12,229,896/x
  3. Step 3: Cross multiply
    8,097,504x = 12,229,896 × 12,229,896
  4. Step 4: Simplify right side
    8,097,504x = 149,570,356,170,816
  5. Step 5: Solve for x
    x = 149,570,356,170,816/8,097,504
  6. Step 6: Final answer
    x = 18,471,167.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.