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Finding the Third Proportional to 20,140,569 and 30,378,037.50

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Solution

The third proportional to 20,140,569 and 30,378,037.50 is: 45,819,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140,569 : 30,378,037.50 = 30,378,037.50 : x
  2. Step 2: Convert to fraction form
    20,140,569/30,378,037.50 = 30,378,037.50/x
  3. Step 3: Cross multiply
    20,140,569x = 30,378,037.50 × 30,378,037.50
  4. Step 4: Simplify right side
    20,140,569x = 922,825,162,351,406.25
  5. Step 5: Solve for x
    x = 922,825,162,351,406.25/20,140,569
  6. Step 6: Final answer
    x = 45,819,220.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.