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Finding the Third Proportional to 2,998,403,724,682 and 4,567,860,670,047

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Solution

The third proportional to 2,998,403,724,682 and 4,567,860,670,047 is: 6,958,819,764,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,403,724,682 : 4,567,860,670,047 = 4,567,860,670,047 : x
  2. Step 2: Convert to fraction form
    2,998,403,724,682/4,567,860,670,047 = 4,567,860,670,047/x
  3. Step 3: Cross multiply
    2,998,403,724,682x = 4,567,860,670,047 × 4,567,860,670,047
  4. Step 4: Simplify right side
    2,998,403,724,682x = 20,865,351,100,962,228,664,270,848
  5. Step 5: Solve for x
    x = 20,865,351,100,962,228,664,270,848/2,998,403,724,682
  6. Step 6: Final answer
    x = 6,958,819,764,398.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.