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Finding the Third Proportional to 2,274,567,914 and 3,494,622,207

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Solution

The third proportional to 2,274,567,914 and 3,494,622,207 is: 5,369,100,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,567,914 : 3,494,622,207 = 3,494,622,207 : x
  2. Step 2: Convert to fraction form
    2,274,567,914/3,494,622,207 = 3,494,622,207/x
  3. Step 3: Cross multiply
    2,274,567,914x = 3,494,622,207 × 3,494,622,207
  4. Step 4: Simplify right side
    2,274,567,914x = 12,212,384,369,657,550,848
  5. Step 5: Solve for x
    x = 12,212,384,369,657,550,848/2,274,567,914
  6. Step 6: Final answer
    x = 5,369,100,783.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.