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Finding the Third Proportional to 5,300,741.25 and 11,642,828.63

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Solution

The third proportional to 5,300,741.25 and 11,642,828.63 is: 25,572,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,741.25 : 11,642,828.63 = 11,642,828.63 : x
  2. Step 2: Convert to fraction form
    5,300,741.25/11,642,828.63 = 11,642,828.63/x
  3. Step 3: Cross multiply
    5,300,741.25x = 11,642,828.63 × 11,642,828.63
  4. Step 4: Simplify right side
    5,300,741.25x = 135,555,458,391,119.39
  5. Step 5: Solve for x
    x = 135,555,458,391,119.39/5,300,741.25
  6. Step 6: Final answer
    x = 25,572,924.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.