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Finding the Third Proportional to 1,530,776,689,133 and 3,279,897,768,508

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Solution

The third proportional to 1,530,776,689,133 and 3,279,897,768,508 is: 7,027,628,163,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,776,689,133 : 3,279,897,768,508 = 3,279,897,768,508 : x
  2. Step 2: Convert to fraction form
    1,530,776,689,133/3,279,897,768,508 = 3,279,897,768,508/x
  3. Step 3: Cross multiply
    1,530,776,689,133x = 3,279,897,768,508 × 3,279,897,768,508
  4. Step 4: Simplify right side
    1,530,776,689,133x = 10,757,729,371,863,758,447,575,040
  5. Step 5: Solve for x
    x = 10,757,729,371,863,758,447,575,040/1,530,776,689,133
  6. Step 6: Final answer
    x = 7,027,628,163,031.87

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