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Finding the Third Proportional to 538,436,932 and 1,171,212,944

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Solution

The third proportional to 538,436,932 and 1,171,212,944 is: 2,547,633,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,436,932 : 1,171,212,944 = 1,171,212,944 : x
  2. Step 2: Convert to fraction form
    538,436,932/1,171,212,944 = 1,171,212,944/x
  3. Step 3: Cross multiply
    538,436,932x = 1,171,212,944 × 1,171,212,944
  4. Step 4: Simplify right side
    538,436,932x = 1,371,739,760,193,147,136
  5. Step 5: Solve for x
    x = 1,371,739,760,193,147,136/538,436,932
  6. Step 6: Final answer
    x = 2,547,633,118.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.