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Finding the Third Proportional to 3,822,081,414,384.50 and 8,384,137,473,933.50

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Solution

The third proportional to 3,822,081,414,384.50 and 8,384,137,473,933.50 is: 18,391,487,140,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,081,414,384.50 : 8,384,137,473,933.50 = 8,384,137,473,933.50 : x
  2. Step 2: Convert to fraction form
    3,822,081,414,384.50/8,384,137,473,933.50 = 8,384,137,473,933.50/x
  3. Step 3: Cross multiply
    3,822,081,414,384.50x = 8,384,137,473,933.50 × 8,384,137,473,933.50
  4. Step 4: Simplify right side
    3,822,081,414,384.50x = 70,293,761,181,816,014,061,436,928
  5. Step 5: Solve for x
    x = 70,293,761,181,816,014,061,436,928/3,822,081,414,384.50
  6. Step 6: Final answer
    x = 18,391,487,140,295.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.