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Finding the Third Proportional to 4,796,481,936 and 10,695,830,496

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Solution

The third proportional to 4,796,481,936 and 10,695,830,496 is: 23,850,979,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796,481,936 : 10,695,830,496 = 10,695,830,496 : x
  2. Step 2: Convert to fraction form
    4,796,481,936/10,695,830,496 = 10,695,830,496/x
  3. Step 3: Cross multiply
    4,796,481,936x = 10,695,830,496 × 10,695,830,496
  4. Step 4: Simplify right side
    4,796,481,936x = 114,400,789,999,163,604,992
  5. Step 5: Solve for x
    x = 114,400,789,999,163,604,992/4,796,481,936
  6. Step 6: Final answer
    x = 23,850,979,014.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.