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Finding the Third Proportional to 7,724,550.09 and 11,686,242.94

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Solution

The third proportional to 7,724,550.09 and 11,686,242.94 is: 17,679,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,550.09 : 11,686,242.94 = 11,686,242.94 : x
  2. Step 2: Convert to fraction form
    7,724,550.09/11,686,242.94 = 11,686,242.94/x
  3. Step 3: Cross multiply
    7,724,550.09x = 11,686,242.94 × 11,686,242.94
  4. Step 4: Simplify right side
    7,724,550.09x = 136,568,273,994,268.62
  5. Step 5: Solve for x
    x = 136,568,273,994,268.62/7,724,550.09
  6. Step 6: Final answer
    x = 17,679,770.65

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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.