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Finding the Third Proportional to 18,142,922,992.50 and 25,226,284,200.75

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Solution

The third proportional to 18,142,922,992.50 and 25,226,284,200.75 is: 35,075,131,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142,922,992.50 : 25,226,284,200.75 = 25,226,284,200.75 : x
  2. Step 2: Convert to fraction form
    18,142,922,992.50/25,226,284,200.75 = 25,226,284,200.75/x
  3. Step 3: Cross multiply
    18,142,922,992.50x = 25,226,284,200.75 × 25,226,284,200.75
  4. Step 4: Simplify right side
    18,142,922,992.50x = 636,365,414,577,009,065,984
  5. Step 5: Solve for x
    x = 636,365,414,577,009,065,984/18,142,922,992.50
  6. Step 6: Final answer
    x = 35,075,131,765.71

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