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Finding the Third Proportional to 27,045,015.75 and 55,045,019.81

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Solution

The third proportional to 27,045,015.75 and 55,045,019.81 is: 112,033,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045,015.75 : 55,045,019.81 = 55,045,019.81 : x
  2. Step 2: Convert to fraction form
    27,045,015.75/55,045,019.81 = 55,045,019.81/x
  3. Step 3: Cross multiply
    27,045,015.75x = 55,045,019.81 × 55,045,019.81
  4. Step 4: Simplify right side
    27,045,015.75x = 3,029,954,206,158,517.50
  5. Step 5: Solve for x
    x = 3,029,954,206,158,517.50/27,045,015.75
  6. Step 6: Final answer
    x = 112,033,737.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.