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Finding the Third Proportional to 493,461,843.75 and 1,083,764,639.25

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Solution

The third proportional to 493,461,843.75 and 1,083,764,639.25 is: 2,380,216,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,461,843.75 : 1,083,764,639.25 = 1,083,764,639.25 : x
  2. Step 2: Convert to fraction form
    493,461,843.75/1,083,764,639.25 = 1,083,764,639.25/x
  3. Step 3: Cross multiply
    493,461,843.75x = 1,083,764,639.25 × 1,083,764,639.25
  4. Step 4: Simplify right side
    493,461,843.75x = 1,174,545,793,288,682,752
  5. Step 5: Solve for x
    x = 1,174,545,793,288,682,752/493,461,843.75
  6. Step 6: Final answer
    x = 2,380,216,035.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.