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Finding the Third Proportional to 10,744,494.09 and 23,190,525.94

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Solution

The third proportional to 10,744,494.09 and 23,190,525.94 is: 50,053,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744,494.09 : 23,190,525.94 = 23,190,525.94 : x
  2. Step 2: Convert to fraction form
    10,744,494.09/23,190,525.94 = 23,190,525.94/x
  3. Step 3: Cross multiply
    10,744,494.09x = 23,190,525.94 × 23,190,525.94
  4. Step 4: Simplify right side
    10,744,494.09x = 537,800,493,257,860.25
  5. Step 5: Solve for x
    x = 537,800,493,257,860.25/10,744,494.09
  6. Step 6: Final answer
    x = 50,053,589.17

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