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Finding the Third Proportional to 244,365,796,755 and 526,078,294,101

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Solution

The third proportional to 244,365,796,755 and 526,078,294,101 is: 1,132,557,727,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,365,796,755 : 526,078,294,101 = 526,078,294,101 : x
  2. Step 2: Convert to fraction form
    244,365,796,755/526,078,294,101 = 526,078,294,101/x
  3. Step 3: Cross multiply
    244,365,796,755x = 526,078,294,101 × 526,078,294,101
  4. Step 4: Simplify right side
    244,365,796,755x = 276,758,371,524,218,235,912,192
  5. Step 5: Solve for x
    x = 276,758,371,524,218,235,912,192/244,365,796,755
  6. Step 6: Final answer
    x = 1,132,557,727,797.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.