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Finding the Third Proportional to 7,824,183.75 and 16,805,288.25

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Solution

The third proportional to 7,824,183.75 and 16,805,288.25 is: 36,095,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,183.75 : 16,805,288.25 = 16,805,288.25 : x
  2. Step 2: Convert to fraction form
    7,824,183.75/16,805,288.25 = 16,805,288.25/x
  3. Step 3: Cross multiply
    7,824,183.75x = 16,805,288.25 × 16,805,288.25
  4. Step 4: Simplify right side
    7,824,183.75x = 282,417,713,165,588.06
  5. Step 5: Solve for x
    x = 282,417,713,165,588.06/7,824,183.75
  6. Step 6: Final answer
    x = 36,095,485.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.