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Finding the Third Proportional to 11,649,282.36 and 17,372,902.31

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Solution

The third proportional to 11,649,282.36 and 17,372,902.31 is: 25,908,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,282.36 : 17,372,902.31 = 17,372,902.31 : x
  2. Step 2: Convert to fraction form
    11,649,282.36/17,372,902.31 = 17,372,902.31/x
  3. Step 3: Cross multiply
    11,649,282.36x = 17,372,902.31 × 17,372,902.31
  4. Step 4: Simplify right side
    11,649,282.36x = 301,817,734,556,057.38
  5. Step 5: Solve for x
    x = 301,817,734,556,057.38/11,649,282.36
  6. Step 6: Final answer
    x = 25,908,697.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.