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Finding the Third Proportional to 677,101,095 and 1,373,240,731.31

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Solution

The third proportional to 677,101,095 and 1,373,240,731.31 is: 2,785,093,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,101,095 : 1,373,240,731.31 = 1,373,240,731.31 : x
  2. Step 2: Convert to fraction form
    677,101,095/1,373,240,731.31 = 1,373,240,731.31/x
  3. Step 3: Cross multiply
    677,101,095x = 1,373,240,731.31 × 1,373,240,731.31
  4. Step 4: Simplify right side
    677,101,095x = 1,885,790,106,135,689,728
  5. Step 5: Solve for x
    x = 1,885,790,106,135,689,728/677,101,095
  6. Step 6: Final answer
    x = 2,785,093,865.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.