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Finding the Third Proportional to 19,101,396,714 and 41,105,169,876

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Solution

The third proportional to 19,101,396,714 and 41,105,169,876 is: 88,456,096,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101,396,714 : 41,105,169,876 = 41,105,169,876 : x
  2. Step 2: Convert to fraction form
    19,101,396,714/41,105,169,876 = 41,105,169,876/x
  3. Step 3: Cross multiply
    19,101,396,714x = 41,105,169,876 × 41,105,169,876
  4. Step 4: Simplify right side
    19,101,396,714x = 1,689,634,990,534,817,742,848
  5. Step 5: Solve for x
    x = 1,689,634,990,534,817,742,848/19,101,396,714
  6. Step 6: Final answer
    x = 88,456,096,474.69

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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.