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Finding the Third Proportional to 10,902,392,872 and 23,665,472,768

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Solution

The third proportional to 10,902,392,872 and 23,665,472,768 is: 51,369,878,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902,392,872 : 23,665,472,768 = 23,665,472,768 : x
  2. Step 2: Convert to fraction form
    10,902,392,872/23,665,472,768 = 23,665,472,768/x
  3. Step 3: Cross multiply
    10,902,392,872x = 23,665,472,768 × 23,665,472,768
  4. Step 4: Simplify right side
    10,902,392,872x = 560,054,601,332,949,581,824
  5. Step 5: Solve for x
    x = 560,054,601,332,949,581,824/10,902,392,872
  6. Step 6: Final answer
    x = 51,369,878,879.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.