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Finding the Third Proportional to 1,630,526,770,549 and 2,431,650,412,773

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Solution

The third proportional to 1,630,526,770,549 and 2,431,650,412,773 is: 3,626,388,622,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,526,770,549 : 2,431,650,412,773 = 2,431,650,412,773 : x
  2. Step 2: Convert to fraction form
    1,630,526,770,549/2,431,650,412,773 = 2,431,650,412,773/x
  3. Step 3: Cross multiply
    1,630,526,770,549x = 2,431,650,412,773 × 2,431,650,412,773
  4. Step 4: Simplify right side
    1,630,526,770,549x = 5,912,923,729,939,101,078,519,808
  5. Step 5: Solve for x
    x = 5,912,923,729,939,101,078,519,808/1,630,526,770,549
  6. Step 6: Final answer
    x = 3,626,388,622,830.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.