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Finding the Third Proportional to 816,652,284 and 1,792,027,848

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Solution

The third proportional to 816,652,284 and 1,792,027,848 is: 3,932,351,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,652,284 : 1,792,027,848 = 1,792,027,848 : x
  2. Step 2: Convert to fraction form
    816,652,284/1,792,027,848 = 1,792,027,848/x
  3. Step 3: Cross multiply
    816,652,284x = 1,792,027,848 × 1,792,027,848
  4. Step 4: Simplify right side
    816,652,284x = 3,211,363,808,007,511,040
  5. Step 5: Solve for x
    x = 3,211,363,808,007,511,040/816,652,284
  6. Step 6: Final answer
    x = 3,932,351,468.21

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Why These Related Problems?

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