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Finding the Third Proportional to 6,001,622,774,171 and 8,097,598,270,615

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Solution

The third proportional to 6,001,622,774,171 and 8,097,598,270,615 is: 10,925,561,338,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001,622,774,171 : 8,097,598,270,615 = 8,097,598,270,615 : x
  2. Step 2: Convert to fraction form
    6,001,622,774,171/8,097,598,270,615 = 8,097,598,270,615/x
  3. Step 3: Cross multiply
    6,001,622,774,171x = 8,097,598,270,615 × 8,097,598,270,615
  4. Step 4: Simplify right side
    6,001,622,774,171x = 65,571,097,752,267,035,768,782,848
  5. Step 5: Solve for x
    x = 65,571,097,752,267,035,768,782,848/6,001,622,774,171
  6. Step 6: Final answer
    x = 10,925,561,338,920.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.