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Finding the Third Proportional to 290,544,421,600.50 and 629,435,336,058

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Solution

The third proportional to 290,544,421,600.50 and 629,435,336,058 is: 1,363,608,497,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,544,421,600.50 : 629,435,336,058 = 629,435,336,058 : x
  2. Step 2: Convert to fraction form
    290,544,421,600.50/629,435,336,058 = 629,435,336,058/x
  3. Step 3: Cross multiply
    290,544,421,600.50x = 629,435,336,058 × 629,435,336,058
  4. Step 4: Simplify right side
    290,544,421,600.50x = 396,188,842,278,447,396,945,920
  5. Step 5: Solve for x
    x = 396,188,842,278,447,396,945,920/290,544,421,600.50
  6. Step 6: Final answer
    x = 1,363,608,497,784.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.