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Finding the Third Proportional to 1,639,410,912 and 3,540,579,840

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Solution

The third proportional to 1,639,410,912 and 3,540,579,840 is: 7,646,469,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,410,912 : 3,540,579,840 = 3,540,579,840 : x
  2. Step 2: Convert to fraction form
    1,639,410,912/3,540,579,840 = 3,540,579,840/x
  3. Step 3: Cross multiply
    1,639,410,912x = 3,540,579,840 × 3,540,579,840
  4. Step 4: Simplify right side
    1,639,410,912x = 12,535,705,603,414,425,600
  5. Step 5: Solve for x
    x = 12,535,705,603,414,425,600/1,639,410,912
  6. Step 6: Final answer
    x = 7,646,469,540.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.