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Finding the Third Proportional to 746,372,891 and 1,619,614,138

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Solution

The third proportional to 746,372,891 and 1,619,614,138 is: 3,514,530,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,372,891 : 1,619,614,138 = 1,619,614,138 : x
  2. Step 2: Convert to fraction form
    746,372,891/1,619,614,138 = 1,619,614,138/x
  3. Step 3: Cross multiply
    746,372,891x = 1,619,614,138 × 1,619,614,138
  4. Step 4: Simplify right side
    746,372,891x = 2,623,149,956,009,483,264
  5. Step 5: Solve for x
    x = 2,623,149,956,009,483,264/746,372,891
  6. Step 6: Final answer
    x = 3,514,530,052.79

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