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Finding the Third Proportional to 19,101,396,712 and 41,105,169,872

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Solution

The third proportional to 19,101,396,712 and 41,105,169,872 is: 88,456,096,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101,396,712 : 41,105,169,872 = 41,105,169,872 : x
  2. Step 2: Convert to fraction form
    19,101,396,712/41,105,169,872 = 41,105,169,872/x
  3. Step 3: Cross multiply
    19,101,396,712x = 41,105,169,872 × 41,105,169,872
  4. Step 4: Simplify right side
    19,101,396,712x = 1,689,634,990,205,976,444,928
  5. Step 5: Solve for x
    x = 1,689,634,990,205,976,444,928/19,101,396,712
  6. Step 6: Final answer
    x = 88,456,096,466.73

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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.