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Finding the Third Proportional to 4,796,481,922 and 10,695,830,472

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Solution

The third proportional to 4,796,481,922 and 10,695,830,472 is: 23,850,978,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796,481,922 : 10,695,830,472 = 10,695,830,472 : x
  2. Step 2: Convert to fraction form
    4,796,481,922/10,695,830,472 = 10,695,830,472/x
  3. Step 3: Cross multiply
    4,796,481,922x = 10,695,830,472 × 10,695,830,472
  4. Step 4: Simplify right side
    4,796,481,922x = 114,400,789,485,763,739,648
  5. Step 5: Solve for x
    x = 114,400,789,485,763,739,648/4,796,481,922
  6. Step 6: Final answer
    x = 23,850,978,977.12

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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.