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Finding the Third Proportional to 1,530,776,689,131 and 3,279,897,768,504

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Solution

The third proportional to 1,530,776,689,131 and 3,279,897,768,504 is: 7,027,628,163,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,776,689,131 : 3,279,897,768,504 = 3,279,897,768,504 : x
  2. Step 2: Convert to fraction form
    1,530,776,689,131/3,279,897,768,504 = 3,279,897,768,504/x
  3. Step 3: Cross multiply
    1,530,776,689,131x = 3,279,897,768,504 × 3,279,897,768,504
  4. Step 4: Simplify right side
    1,530,776,689,131x = 10,757,729,371,837,518,344,880,128
  5. Step 5: Solve for x
    x = 10,757,729,371,837,518,344,880,128/1,530,776,689,131
  6. Step 6: Final answer
    x = 7,027,628,163,023.91

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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.