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Finding the Third Proportional to 1,727,372,061 and 3,729,986,010

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Solution

The third proportional to 1,727,372,061 and 3,729,986,010 is: 8,054,313,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,372,061 : 3,729,986,010 = 3,729,986,010 : x
  2. Step 2: Convert to fraction form
    1,727,372,061/3,729,986,010 = 3,729,986,010/x
  3. Step 3: Cross multiply
    1,727,372,061x = 3,729,986,010 × 3,729,986,010
  4. Step 4: Simplify right side
    1,727,372,061x = 13,912,795,634,795,720,704
  5. Step 5: Solve for x
    x = 13,912,795,634,795,720,704/1,727,372,061
  6. Step 6: Final answer
    x = 8,054,313,224.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.