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Finding the Third Proportional to 308,701,638,628 and 668,688,042,667

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Solution

The third proportional to 308,701,638,628 and 668,688,042,667 is: 1,448,465,581,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701,638,628 : 668,688,042,667 = 668,688,042,667 : x
  2. Step 2: Convert to fraction form
    308,701,638,628/668,688,042,667 = 668,688,042,667/x
  3. Step 3: Cross multiply
    308,701,638,628x = 668,688,042,667 × 668,688,042,667
  4. Step 4: Simplify right side
    308,701,638,628x = 447,143,698,405,823,617,171,456
  5. Step 5: Solve for x
    x = 447,143,698,405,823,617,171,456/308,701,638,628
  6. Step 6: Final answer
    x = 1,448,465,581,177.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.