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Finding the Third Proportional to 3,205,306,800 and 6,962,388,966

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Solution

The third proportional to 3,205,306,800 and 6,962,388,966 is: 15,123,313,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,306,800 : 6,962,388,966 = 6,962,388,966 : x
  2. Step 2: Convert to fraction form
    3,205,306,800/6,962,388,966 = 6,962,388,966/x
  3. Step 3: Cross multiply
    3,205,306,800x = 6,962,388,966 × 6,962,388,966
  4. Step 4: Simplify right side
    3,205,306,800x = 48,474,860,113,878,548,480
  5. Step 5: Solve for x
    x = 48,474,860,113,878,548,480/3,205,306,800
  6. Step 6: Final answer
    x = 15,123,313,660.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.