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Finding the Third Proportional to 451,335,212 and 982,795,796

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Solution

The third proportional to 451,335,212 and 982,795,796 is: 2,140,066,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,335,212 : 982,795,796 = 982,795,796 : x
  2. Step 2: Convert to fraction form
    451,335,212/982,795,796 = 982,795,796/x
  3. Step 3: Cross multiply
    451,335,212x = 982,795,796 × 982,795,796
  4. Step 4: Simplify right side
    451,335,212x = 965,887,576,635,273,600
  5. Step 5: Solve for x
    x = 965,887,576,635,273,600/451,335,212
  6. Step 6: Final answer
    x = 2,140,066,963.43

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Why These Related Problems?

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