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Finding the Third Proportional to 472,950,009 and 1,105,024,629.38

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Solution

The third proportional to 472,950,009 and 1,105,024,629.38 is: 2,581,836,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,950,009 : 1,105,024,629.38 = 1,105,024,629.38 : x
  2. Step 2: Convert to fraction form
    472,950,009/1,105,024,629.38 = 1,105,024,629.38/x
  3. Step 3: Cross multiply
    472,950,009x = 1,105,024,629.38 × 1,105,024,629.38
  4. Step 4: Simplify right side
    472,950,009x = 1,221,079,431,525,356,032
  5. Step 5: Solve for x
    x = 1,221,079,431,525,356,032/472,950,009
  6. Step 6: Final answer
    x = 2,581,836,152.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.