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Finding the Third Proportional to 26,379,886,269 and 56,892,141,114

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Solution

The third proportional to 26,379,886,269 and 56,892,141,114 is: 122,696,348,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,379,886,269 : 56,892,141,114 = 56,892,141,114 : x
  2. Step 2: Convert to fraction form
    26,379,886,269/56,892,141,114 = 56,892,141,114/x
  3. Step 3: Cross multiply
    26,379,886,269x = 56,892,141,114 × 56,892,141,114
  4. Step 4: Simplify right side
    26,379,886,269x = 3,236,715,720,535,289,364,480
  5. Step 5: Solve for x
    x = 3,236,715,720,535,289,364,480/26,379,886,269
  6. Step 6: Final answer
    x = 122,696,348,556.24

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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.