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Finding the Third Proportional to 1,284,905,245.50 and 1,733,638,869

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Solution

The third proportional to 1,284,905,245.50 and 1,733,638,869 is: 2,339,085,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,905,245.50 : 1,733,638,869 = 1,733,638,869 : x
  2. Step 2: Convert to fraction form
    1,284,905,245.50/1,733,638,869 = 1,733,638,869/x
  3. Step 3: Cross multiply
    1,284,905,245.50x = 1,733,638,869 × 1,733,638,869
  4. Step 4: Simplify right side
    1,284,905,245.50x = 3,005,503,728,107,599,360
  5. Step 5: Solve for x
    x = 3,005,503,728,107,599,360/1,284,905,245.50
  6. Step 6: Final answer
    x = 2,339,085,888.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.