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Finding the Third Proportional to 2,429,331.75 and 5,624,022.38

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Solution

The third proportional to 2,429,331.75 and 5,624,022.38 is: 13,019,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,331.75 : 5,624,022.38 = 5,624,022.38 : x
  2. Step 2: Convert to fraction form
    2,429,331.75/5,624,022.38 = 5,624,022.38/x
  3. Step 3: Cross multiply
    2,429,331.75x = 5,624,022.38 × 5,624,022.38
  4. Step 4: Simplify right side
    2,429,331.75x = 31,629,627,674,500.64
  5. Step 5: Solve for x
    x = 31,629,627,674,500.64/2,429,331.75
  6. Step 6: Final answer
    x = 13,019,888.15

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.