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Finding the Third Proportional to 26,379,886,262 and 56,892,141,098

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Solution

The third proportional to 26,379,886,262 and 56,892,141,098 is: 122,696,348,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,379,886,262 : 56,892,141,098 = 56,892,141,098 : x
  2. Step 2: Convert to fraction form
    26,379,886,262/56,892,141,098 = 56,892,141,098/x
  3. Step 3: Cross multiply
    26,379,886,262x = 56,892,141,098 × 56,892,141,098
  4. Step 4: Simplify right side
    26,379,886,262x = 3,236,715,718,714,740,703,232
  5. Step 5: Solve for x
    x = 3,236,715,718,714,740,703,232/26,379,886,262
  6. Step 6: Final answer
    x = 122,696,348,519.79

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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.