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Finding the Third Proportional to 36,284,382 and 78,340,824

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Solution

The third proportional to 36,284,382 and 78,340,824 is: 169,143,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284,382 : 78,340,824 = 78,340,824 : x
  2. Step 2: Convert to fraction form
    36,284,382/78,340,824 = 78,340,824/x
  3. Step 3: Cross multiply
    36,284,382x = 78,340,824 × 78,340,824
  4. Step 4: Simplify right side
    36,284,382x = 6,137,284,704,998,976
  5. Step 5: Solve for x
    x = 6,137,284,704,998,976/36,284,382
  6. Step 6: Final answer
    x = 169,143,977.84

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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.