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Finding the Third Proportional to 2,305,879,347,770 and 4,802,614,972,816

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Solution

The third proportional to 2,305,879,347,770 and 4,802,614,972,816 is: 10,002,739,561,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,879,347,770 : 4,802,614,972,816 = 4,802,614,972,816 : x
  2. Step 2: Convert to fraction form
    2,305,879,347,770/4,802,614,972,816 = 4,802,614,972,816/x
  3. Step 3: Cross multiply
    2,305,879,347,770x = 4,802,614,972,816 × 4,802,614,972,816
  4. Step 4: Simplify right side
    2,305,879,347,770x = 23,065,110,577,116,426,664,935,424
  5. Step 5: Solve for x
    x = 23,065,110,577,116,426,664,935,424/2,305,879,347,770
  6. Step 6: Final answer
    x = 10,002,739,561,990.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.