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Finding the Third Proportional to 37,300,994,282.25 and 81,137,517,122.25

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Solution

The third proportional to 37,300,994,282.25 and 81,137,517,122.25 is: 176,491,185,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,300,994,282.25 : 81,137,517,122.25 = 81,137,517,122.25 : x
  2. Step 2: Convert to fraction form
    37,300,994,282.25/81,137,517,122.25 = 81,137,517,122.25/x
  3. Step 3: Cross multiply
    37,300,994,282.25x = 81,137,517,122.25 × 81,137,517,122.25
  4. Step 4: Simplify right side
    37,300,994,282.25x = 6,583,296,684,763,412,168,704
  5. Step 5: Solve for x
    x = 6,583,296,684,763,412,168,704/37,300,994,282.25
  6. Step 6: Final answer
    x = 176,491,185,059.27

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