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Finding the Third Proportional to 11,596,959 and 17,040,444.19

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Solution

The third proportional to 11,596,959 and 17,040,444.19 is: 25,039,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596,959 : 17,040,444.19 = 17,040,444.19 : x
  2. Step 2: Convert to fraction form
    11,596,959/17,040,444.19 = 17,040,444.19/x
  3. Step 3: Cross multiply
    11,596,959x = 17,040,444.19 × 17,040,444.19
  4. Step 4: Simplify right side
    11,596,959x = 290,376,738,107,302.56
  5. Step 5: Solve for x
    x = 290,376,738,107,302.56/11,596,959
  6. Step 6: Final answer
    x = 25,039,041.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.