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Finding the Third Proportional to 451,163,358,172 and 682,557,112,231

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Solution

The third proportional to 451,163,358,172 and 682,557,112,231 is: 1,032,628,654,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,163,358,172 : 682,557,112,231 = 682,557,112,231 : x
  2. Step 2: Convert to fraction form
    451,163,358,172/682,557,112,231 = 682,557,112,231/x
  3. Step 3: Cross multiply
    451,163,358,172x = 682,557,112,231 × 682,557,112,231
  4. Step 4: Simplify right side
    451,163,358,172x = 465,884,211,457,121,933,328,384
  5. Step 5: Solve for x
    x = 465,884,211,457,121,933,328,384/451,163,358,172
  6. Step 6: Final answer
    x = 1,032,628,654,385.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.