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Finding the Third Proportional to 274,041,752 and 639,452,848

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Solution

The third proportional to 274,041,752 and 639,452,848 is: 1,492,108,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,041,752 : 639,452,848 = 639,452,848 : x
  2. Step 2: Convert to fraction form
    274,041,752/639,452,848 = 639,452,848/x
  3. Step 3: Cross multiply
    274,041,752x = 639,452,848 × 639,452,848
  4. Step 4: Simplify right side
    274,041,752x = 408,899,944,815,311,104
  5. Step 5: Solve for x
    x = 408,899,944,815,311,104/274,041,752
  6. Step 6: Final answer
    x = 1,492,108,198.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.