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Finding the Third Proportional to 437,378,413.50 and 892,353,418.88

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Solution

The third proportional to 437,378,413.50 and 892,353,418.88 is: 1,820,607,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,378,413.50 : 892,353,418.88 = 892,353,418.88 : x
  2. Step 2: Convert to fraction form
    437,378,413.50/892,353,418.88 = 892,353,418.88/x
  3. Step 3: Cross multiply
    437,378,413.50x = 892,353,418.88 × 892,353,418.88
  4. Step 4: Simplify right side
    437,378,413.50x = 796,294,624,177,901,184
  5. Step 5: Solve for x
    x = 796,294,624,177,901,184/437,378,413.50
  6. Step 6: Final answer
    x = 1,820,607,966.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.