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Finding the Third Proportional to 10,366,978,205,896 and 22,558,962,192,020

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Solution

The third proportional to 10,366,978,205,896 and 22,558,962,192,020 is: 49,089,210,479,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366,978,205,896 : 22,558,962,192,020 = 22,558,962,192,020 : x
  2. Step 2: Convert to fraction form
    10,366,978,205,896/22,558,962,192,020 = 22,558,962,192,020/x
  3. Step 3: Cross multiply
    10,366,978,205,896x = 22,558,962,192,020 × 22,558,962,192,020
  4. Step 4: Simplify right side
    10,366,978,205,896x = 508,906,775,180,987,786,751,639,552
  5. Step 5: Solve for x
    x = 508,906,775,180,987,786,751,639,552/10,366,978,205,896
  6. Step 6: Final answer
    x = 49,089,210,479,053.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.