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Finding the Third Proportional to 493,461,855 and 1,083,764,661

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Solution

The third proportional to 493,461,855 and 1,083,764,661 is: 2,380,216,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,461,855 : 1,083,764,661 = 1,083,764,661 : x
  2. Step 2: Convert to fraction form
    493,461,855/1,083,764,661 = 1,083,764,661/x
  3. Step 3: Cross multiply
    493,461,855x = 1,083,764,661 × 1,083,764,661
  4. Step 4: Simplify right side
    493,461,855x = 1,174,545,840,432,444,928
  5. Step 5: Solve for x
    x = 1,174,545,840,432,444,928/493,461,855
  6. Step 6: Final answer
    x = 2,380,216,076.54

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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.