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Finding the Third Proportional to 75,405,573 and 115,301,556

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Solution

The third proportional to 75,405,573 and 115,301,556 is: 176,305,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,405,573 : 115,301,556 = 115,301,556 : x
  2. Step 2: Convert to fraction form
    75,405,573/115,301,556 = 115,301,556/x
  3. Step 3: Cross multiply
    75,405,573x = 115,301,556 × 115,301,556
  4. Step 4: Simplify right side
    75,405,573x = 13,294,448,816,021,136
  5. Step 5: Solve for x
    x = 13,294,448,816,021,136/75,405,573
  6. Step 6: Final answer
    x = 176,305,918.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.