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Finding the Third Proportional to 7,419,629 and 11,802,668

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Solution

The third proportional to 7,419,629 and 11,802,668 is: 18,774,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,629 : 11,802,668 = 11,802,668 : x
  2. Step 2: Convert to fraction form
    7,419,629/11,802,668 = 11,802,668/x
  3. Step 3: Cross multiply
    7,419,629x = 11,802,668 × 11,802,668
  4. Step 4: Simplify right side
    7,419,629x = 139,302,971,918,224
  5. Step 5: Solve for x
    x = 139,302,971,918,224/7,419,629
  6. Step 6: Final answer
    x = 18,774,924.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.