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Finding the Third Proportional to 1,530,776,685,769 and 3,279,897,762,007

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Solution

The third proportional to 1,530,776,685,769 and 3,279,897,762,007 is: 7,027,628,150,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,776,685,769 : 3,279,897,762,007 = 3,279,897,762,007 : x
  2. Step 2: Convert to fraction form
    1,530,776,685,769/3,279,897,762,007 = 3,279,897,762,007/x
  3. Step 3: Cross multiply
    1,530,776,685,769x = 3,279,897,762,007 × 3,279,897,762,007
  4. Step 4: Simplify right side
    1,530,776,685,769x = 10,757,729,329,218,527,801,901,056
  5. Step 5: Solve for x
    x = 10,757,729,329,218,527,801,901,056/1,530,776,685,769
  6. Step 6: Final answer
    x = 7,027,628,150,617.07

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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.