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Finding the Third Proportional to 426,080,768 and 917,981,568

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Solution

The third proportional to 426,080,768 and 917,981,568 is: 1,977,770,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,080,768 : 917,981,568 = 917,981,568 : x
  2. Step 2: Convert to fraction form
    426,080,768/917,981,568 = 917,981,568/x
  3. Step 3: Cross multiply
    426,080,768x = 917,981,568 × 917,981,568
  4. Step 4: Simplify right side
    426,080,768x = 842,690,159,187,738,624
  5. Step 5: Solve for x
    x = 842,690,159,187,738,624/426,080,768
  6. Step 6: Final answer
    x = 1,977,770,935.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.