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Finding the Third Proportional to 4,207,241.25 and 9,215,334.56

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Solution

The third proportional to 4,207,241.25 and 9,215,334.56 is: 20,184,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,241.25 : 9,215,334.56 = 9,215,334.56 : x
  2. Step 2: Convert to fraction form
    4,207,241.25/9,215,334.56 = 9,215,334.56/x
  3. Step 3: Cross multiply
    4,207,241.25x = 9,215,334.56 × 9,215,334.56
  4. Step 4: Simplify right side
    4,207,241.25x = 84,922,391,098,807.06
  5. Step 5: Solve for x
    x = 84,922,391,098,807.06/4,207,241.25
  6. Step 6: Final answer
    x = 20,184,816.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.