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Finding the Third Proportional to 911,009,560,951 and 1,959,122,928,314

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Solution

The third proportional to 911,009,560,951 and 1,959,122,928,314 is: 4,213,087,120,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,009,560,951 : 1,959,122,928,314 = 1,959,122,928,314 : x
  2. Step 2: Convert to fraction form
    911,009,560,951/1,959,122,928,314 = 1,959,122,928,314/x
  3. Step 3: Cross multiply
    911,009,560,951x = 1,959,122,928,314 × 1,959,122,928,314
  4. Step 4: Simplify right side
    911,009,560,951x = 3,838,162,648,245,622,628,417,536
  5. Step 5: Solve for x
    x = 3,838,162,648,245,622,628,417,536/911,009,560,951
  6. Step 6: Final answer
    x = 4,213,087,120,884.85

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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.