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Finding the Third Proportional to 5,380,685,504 and 7,573,889,064

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Solution

The third proportional to 5,380,685,504 and 7,573,889,064 is: 10,661,057,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,685,504 : 7,573,889,064 = 7,573,889,064 : x
  2. Step 2: Convert to fraction form
    5,380,685,504/7,573,889,064 = 7,573,889,064/x
  3. Step 3: Cross multiply
    5,380,685,504x = 7,573,889,064 × 7,573,889,064
  4. Step 4: Simplify right side
    5,380,685,504x = 57,363,795,553,778,794,496
  5. Step 5: Solve for x
    x = 57,363,795,553,778,794,496/5,380,685,504
  6. Step 6: Final answer
    x = 10,661,057,129.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.