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Finding the Third Proportional to 30,735,803.50 and 50,183,485.50

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Solution

The third proportional to 30,735,803.50 and 50,183,485.50 is: 81,936,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735,803.50 : 50,183,485.50 = 50,183,485.50 : x
  2. Step 2: Convert to fraction form
    30,735,803.50/50,183,485.50 = 50,183,485.50/x
  3. Step 3: Cross multiply
    30,735,803.50x = 50,183,485.50 × 50,183,485.50
  4. Step 4: Simplify right side
    30,735,803.50x = 2,518,382,216,928,710
  5. Step 5: Solve for x
    x = 2,518,382,216,928,710/30,735,803.50
  6. Step 6: Final answer
    x = 81,936,436.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.