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Finding the Third Proportional to 310,306,647 and 675,093,876

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Solution

The third proportional to 310,306,647 and 675,093,876 is: 1,468,714,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,306,647 : 675,093,876 = 675,093,876 : x
  2. Step 2: Convert to fraction form
    310,306,647/675,093,876 = 675,093,876/x
  3. Step 3: Cross multiply
    310,306,647x = 675,093,876 × 675,093,876
  4. Step 4: Simplify right side
    310,306,647x = 455,751,741,412,703,360
  5. Step 5: Solve for x
    x = 455,751,741,412,703,360/310,306,647
  6. Step 6: Final answer
    x = 1,468,714,079.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.