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Finding the Third Proportional to 1,530,776,685,771 and 3,279,897,762,011

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Solution

The third proportional to 1,530,776,685,771 and 3,279,897,762,011 is: 7,027,628,150,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,776,685,771 : 3,279,897,762,011 = 3,279,897,762,011 : x
  2. Step 2: Convert to fraction form
    1,530,776,685,771/3,279,897,762,011 = 3,279,897,762,011/x
  3. Step 3: Cross multiply
    1,530,776,685,771x = 3,279,897,762,011 × 3,279,897,762,011
  4. Step 4: Simplify right side
    1,530,776,685,771x = 10,757,729,329,244,765,757,112,320
  5. Step 5: Solve for x
    x = 10,757,729,329,244,765,757,112,320/1,530,776,685,771
  6. Step 6: Final answer
    x = 7,027,628,150,625.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.