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Finding the Third Proportional to 18,142,922,942 and 25,226,284,152

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Solution

The third proportional to 18,142,922,942 and 25,226,284,152 is: 35,075,131,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142,922,942 : 25,226,284,152 = 25,226,284,152 : x
  2. Step 2: Convert to fraction form
    18,142,922,942/25,226,284,152 = 25,226,284,152/x
  3. Step 3: Cross multiply
    18,142,922,942x = 25,226,284,152 × 25,226,284,152
  4. Step 4: Simplify right side
    18,142,922,942x = 636,365,412,117,446,393,856
  5. Step 5: Solve for x
    x = 636,365,412,117,446,393,856/18,142,922,942
  6. Step 6: Final answer
    x = 35,075,131,727.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.