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Finding the Third Proportional to 227,469,513 and 491,185,248

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Solution

The third proportional to 227,469,513 and 491,185,248 is: 1,060,638,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469,513 : 491,185,248 = 491,185,248 : x
  2. Step 2: Convert to fraction form
    227,469,513/491,185,248 = 491,185,248/x
  3. Step 3: Cross multiply
    227,469,513x = 491,185,248 × 491,185,248
  4. Step 4: Simplify right side
    227,469,513x = 241,262,947,852,821,504
  5. Step 5: Solve for x
    x = 241,262,947,852,821,504/227,469,513
  6. Step 6: Final answer
    x = 1,060,638,608.98

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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.