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Finding the Third Proportional to 4,796,481,930 and 10,695,830,487

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Solution

The third proportional to 4,796,481,930 and 10,695,830,487 is: 23,850,979,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796,481,930 : 10,695,830,487 = 10,695,830,487 : x
  2. Step 2: Convert to fraction form
    4,796,481,930/10,695,830,487 = 10,695,830,487/x
  3. Step 3: Cross multiply
    4,796,481,930x = 10,695,830,487 × 10,695,830,487
  4. Step 4: Simplify right side
    4,796,481,930x = 114,400,789,806,638,661,632
  5. Step 5: Solve for x
    x = 114,400,789,806,638,661,632/4,796,481,930
  6. Step 6: Final answer
    x = 23,850,979,004.24

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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.