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Finding the Third Proportional to 30,162,694,682 and 63,451,154,740

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Solution

The third proportional to 30,162,694,682 and 63,451,154,740 is: 133,477,763,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162,694,682 : 63,451,154,740 = 63,451,154,740 : x
  2. Step 2: Convert to fraction form
    30,162,694,682/63,451,154,740 = 63,451,154,740/x
  3. Step 3: Cross multiply
    30,162,694,682x = 63,451,154,740 × 63,451,154,740
  4. Step 4: Simplify right side
    30,162,694,682x = 4,026,049,037,839,424,290,816
  5. Step 5: Solve for x
    x = 4,026,049,037,839,424,290,816/30,162,694,682
  6. Step 6: Final answer
    x = 133,477,763,849.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.