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Finding the Third Proportional to 677,101,095.50 and 1,373,240,732.25

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Solution

The third proportional to 677,101,095.50 and 1,373,240,732.25 is: 2,785,093,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,101,095.50 : 1,373,240,732.25 = 1,373,240,732.25 : x
  2. Step 2: Convert to fraction form
    677,101,095.50/1,373,240,732.25 = 1,373,240,732.25/x
  3. Step 3: Cross multiply
    677,101,095.50x = 1,373,240,732.25 × 1,373,240,732.25
  4. Step 4: Simplify right side
    677,101,095.50x = 1,885,790,108,710,516,224
  5. Step 5: Solve for x
    x = 1,885,790,108,710,516,224/677,101,095.50
  6. Step 6: Final answer
    x = 2,785,093,867.43

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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.