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Finding the Third Proportional to 30,735,794.50 and 50,183,472

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Solution

The third proportional to 30,735,794.50 and 50,183,472 is: 81,936,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735,794.50 : 50,183,472 = 50,183,472 : x
  2. Step 2: Convert to fraction form
    30,735,794.50/50,183,472 = 50,183,472/x
  3. Step 3: Cross multiply
    30,735,794.50x = 50,183,472 × 50,183,472
  4. Step 4: Simplify right side
    30,735,794.50x = 2,518,380,861,974,784
  5. Step 5: Solve for x
    x = 2,518,380,861,974,784/30,735,794.50
  6. Step 6: Final answer
    x = 81,936,416.58

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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.