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Finding the Third Proportional to 355,294,998 and 792,283,824

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Solution

The third proportional to 355,294,998 and 792,283,824 is: 1,766,739,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,294,998 : 792,283,824 = 792,283,824 : x
  2. Step 2: Convert to fraction form
    355,294,998/792,283,824 = 792,283,824/x
  3. Step 3: Cross multiply
    355,294,998x = 792,283,824 × 792,283,824
  4. Step 4: Simplify right side
    355,294,998x = 627,713,657,772,062,976
  5. Step 5: Solve for x
    x = 627,713,657,772,062,976/355,294,998
  6. Step 6: Final answer
    x = 1,766,739,361.11

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.