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Finding the Third Proportional to 1,979,274,240 and 2,904,206,508

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Solution

The third proportional to 1,979,274,240 and 2,904,206,508 is: 4,261,367,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979,274,240 : 2,904,206,508 = 2,904,206,508 : x
  2. Step 2: Convert to fraction form
    1,979,274,240/2,904,206,508 = 2,904,206,508/x
  3. Step 3: Cross multiply
    1,979,274,240x = 2,904,206,508 × 2,904,206,508
  4. Step 4: Simplify right side
    1,979,274,240x = 8,434,415,441,109,554,176
  5. Step 5: Solve for x
    x = 8,434,415,441,109,554,176/1,979,274,240
  6. Step 6: Final answer
    x = 4,261,367,763.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.