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Finding the Third Proportional to 30,206,945,928 and 47,385,784,026

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Solution

The third proportional to 30,206,945,928 and 47,385,784,026 is: 74,334,311,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206,945,928 : 47,385,784,026 = 47,385,784,026 : x
  2. Step 2: Convert to fraction form
    30,206,945,928/47,385,784,026 = 47,385,784,026/x
  3. Step 3: Cross multiply
    30,206,945,928x = 47,385,784,026 × 47,385,784,026
  4. Step 4: Simplify right side
    30,206,945,928x = 2,245,412,527,758,716,698,624
  5. Step 5: Solve for x
    x = 2,245,412,527,758,716,698,624/30,206,945,928
  6. Step 6: Final answer
    x = 74,334,311,489.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.