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Finding the Third Proportional to 2,782,255,836 and 6,000,347,413.50

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Solution

The third proportional to 2,782,255,836 and 6,000,347,413.50 is: 12,940,639,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,255,836 : 6,000,347,413.50 = 6,000,347,413.50 : x
  2. Step 2: Convert to fraction form
    2,782,255,836/6,000,347,413.50 = 6,000,347,413.50/x
  3. Step 3: Cross multiply
    2,782,255,836x = 6,000,347,413.50 × 6,000,347,413.50
  4. Step 4: Simplify right side
    2,782,255,836x = 36,004,169,082,696,138,752
  5. Step 5: Solve for x
    x = 36,004,169,082,696,138,752/2,782,255,836
  6. Step 6: Final answer
    x = 12,940,639,252.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.