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Finding the Third Proportional to 355,294,965 and 792,283,756

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Solution

The third proportional to 355,294,965 and 792,283,756 is: 1,766,739,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,294,965 : 792,283,756 = 792,283,756 : x
  2. Step 2: Convert to fraction form
    355,294,965/792,283,756 = 792,283,756/x
  3. Step 3: Cross multiply
    355,294,965x = 792,283,756 × 792,283,756
  4. Step 4: Simplify right side
    355,294,965x = 627,713,550,021,467,520
  5. Step 5: Solve for x
    x = 627,713,550,021,467,520/355,294,965
  6. Step 6: Final answer
    x = 1,766,739,221.93

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Why These Related Problems?

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