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Finding the Third Proportional to 4,663,192,667 and 6,668,420,409

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Solution

The third proportional to 4,663,192,667 and 6,668,420,409 is: 9,535,919,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663,192,667 : 6,668,420,409 = 6,668,420,409 : x
  2. Step 2: Convert to fraction form
    4,663,192,667/6,668,420,409 = 6,668,420,409/x
  3. Step 3: Cross multiply
    4,663,192,667x = 6,668,420,409 × 6,668,420,409
  4. Step 4: Simplify right side
    4,663,192,667x = 44,467,830,751,167,725,568
  5. Step 5: Solve for x
    x = 44,467,830,751,167,725,568/4,663,192,667
  6. Step 6: Final answer
    x = 9,535,919,685.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.