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Finding the Third Proportional to 10,499,589 and 21,727,458

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Solution

The third proportional to 10,499,589 and 21,727,458 is: 44,961,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499,589 : 21,727,458 = 21,727,458 : x
  2. Step 2: Convert to fraction form
    10,499,589/21,727,458 = 21,727,458/x
  3. Step 3: Cross multiply
    10,499,589x = 21,727,458 × 21,727,458
  4. Step 4: Simplify right side
    10,499,589x = 472,082,431,141,764
  5. Step 5: Solve for x
    x = 472,082,431,141,764/10,499,589
  6. Step 6: Final answer
    x = 44,961,991.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.