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Finding the Third Proportional to 10,366,978,205,898 and 22,558,962,192,026

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Solution

The third proportional to 10,366,978,205,898 and 22,558,962,192,026 is: 49,089,210,479,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366,978,205,898 : 22,558,962,192,026 = 22,558,962,192,026 : x
  2. Step 2: Convert to fraction form
    10,366,978,205,898/22,558,962,192,026 = 22,558,962,192,026/x
  3. Step 3: Cross multiply
    10,366,978,205,898x = 22,558,962,192,026 × 22,558,962,192,026
  4. Step 4: Simplify right side
    10,366,978,205,898x = 508,906,775,181,258,541,489,979,392
  5. Step 5: Solve for x
    x = 508,906,775,181,258,541,489,979,392/10,366,978,205,898
  6. Step 6: Final answer
    x = 49,089,210,479,070.02

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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.