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Finding the Third Proportional to 25,220,804,965 and 55,582,413,217

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Solution

The third proportional to 25,220,804,965 and 55,582,413,217 is: 122,494,292,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,220,804,965 : 55,582,413,217 = 55,582,413,217 : x
  2. Step 2: Convert to fraction form
    25,220,804,965/55,582,413,217 = 55,582,413,217/x
  3. Step 3: Cross multiply
    25,220,804,965x = 55,582,413,217 × 55,582,413,217
  4. Step 4: Simplify right side
    25,220,804,965x = 3,089,404,659,025,336,336,384
  5. Step 5: Solve for x
    x = 3,089,404,659,025,336,336,384/25,220,804,965
  6. Step 6: Final answer
    x = 122,494,292,442.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.