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Finding the Third Proportional to 62,333,594,420 and 133,493,362,624

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Solution

The third proportional to 62,333,594,420 and 133,493,362,624 is: 285,888,821,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,333,594,420 : 133,493,362,624 = 133,493,362,624 : x
  2. Step 2: Convert to fraction form
    62,333,594,420/133,493,362,624 = 133,493,362,624/x
  3. Step 3: Cross multiply
    62,333,594,420x = 133,493,362,624 × 133,493,362,624
  4. Step 4: Simplify right side
    62,333,594,420x = 17,820,477,864,662,760,685,568
  5. Step 5: Solve for x
    x = 17,820,477,864,662,760,685,568/62,333,594,420
  6. Step 6: Final answer
    x = 285,888,821,757.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.