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Finding the Third Proportional to 12,409,186,556.25 and 26,543,604,861

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Solution

The third proportional to 12,409,186,556.25 and 26,543,604,861 is: 56,777,529,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409,186,556.25 : 26,543,604,861 = 26,543,604,861 : x
  2. Step 2: Convert to fraction form
    12,409,186,556.25/26,543,604,861 = 26,543,604,861/x
  3. Step 3: Cross multiply
    12,409,186,556.25x = 26,543,604,861 × 26,543,604,861
  4. Step 4: Simplify right side
    12,409,186,556.25x = 704,562,959,016,902,787,072
  5. Step 5: Solve for x
    x = 704,562,959,016,902,787,072/12,409,186,556.25
  6. Step 6: Final answer
    x = 56,777,529,761.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.