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Finding the Third Proportional to 441,408,019.50 and 946,191,296.25

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Solution

The third proportional to 441,408,019.50 and 946,191,296.25 is: 2,028,232,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,408,019.50 : 946,191,296.25 = 946,191,296.25 : x
  2. Step 2: Convert to fraction form
    441,408,019.50/946,191,296.25 = 946,191,296.25/x
  3. Step 3: Cross multiply
    441,408,019.50x = 946,191,296.25 × 946,191,296.25
  4. Step 4: Simplify right side
    441,408,019.50x = 895,277,969,099,255,296
  5. Step 5: Solve for x
    x = 895,277,969,099,255,296/441,408,019.50
  6. Step 6: Final answer
    x = 2,028,232,224.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.