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Finding the Third Proportional to 7,724,549.44 and 11,686,241.63

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Solution

The third proportional to 7,724,549.44 and 11,686,241.63 is: 17,679,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,549.44 : 11,686,241.63 = 11,686,241.63 : x
  2. Step 2: Convert to fraction form
    7,724,549.44/11,686,241.63 = 11,686,241.63/x
  3. Step 3: Cross multiply
    7,724,549.44x = 11,686,241.63 × 11,686,241.63
  4. Step 4: Simplify right side
    7,724,549.44x = 136,568,243,317,882.64
  5. Step 5: Solve for x
    x = 136,568,243,317,882.64/7,724,549.44
  6. Step 6: Final answer
    x = 17,679,768.18

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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.