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Finding the Third Proportional to 8,203,144 and 17,668,430

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Solution

The third proportional to 8,203,144 and 17,668,430 is: 38,055,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,144 : 17,668,430 = 17,668,430 : x
  2. Step 2: Convert to fraction form
    8,203,144/17,668,430 = 17,668,430/x
  3. Step 3: Cross multiply
    8,203,144x = 17,668,430 × 17,668,430
  4. Step 4: Simplify right side
    8,203,144x = 312,173,418,664,900
  5. Step 5: Solve for x
    x = 312,173,418,664,900/8,203,144
  6. Step 6: Final answer
    x = 38,055,338.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.