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Finding the Third Proportional to 293,017,879.69 and 610,149,894.75

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Solution

The third proportional to 293,017,879.69 and 610,149,894.75 is: 1,270,512,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,017,879.69 : 610,149,894.75 = 610,149,894.75 : x
  2. Step 2: Convert to fraction form
    293,017,879.69/610,149,894.75 = 610,149,894.75/x
  3. Step 3: Cross multiply
    293,017,879.69x = 610,149,894.75 × 610,149,894.75
  4. Step 4: Simplify right side
    293,017,879.69x = 372,282,894,063,436,096
  5. Step 5: Solve for x
    x = 372,282,894,063,436,096/293,017,879.69
  6. Step 6: Final answer
    x = 1,270,512,551.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.