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Finding the Third Proportional to 6,837,608,193 and 14,816,437,364

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Solution

The third proportional to 6,837,608,193 and 14,816,437,364 is: 32,105,790,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,608,193 : 14,816,437,364 = 14,816,437,364 : x
  2. Step 2: Convert to fraction form
    6,837,608,193/14,816,437,364 = 14,816,437,364/x
  3. Step 3: Cross multiply
    6,837,608,193x = 14,816,437,364 × 14,816,437,364
  4. Step 4: Simplify right side
    6,837,608,193x = 219,526,816,161,335,279,616
  5. Step 5: Solve for x
    x = 219,526,816,161,335,279,616/6,837,608,193
  6. Step 6: Final answer
    x = 32,105,790,499.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.