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Finding the Third Proportional to 538,436,872 and 1,171,212,826

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Solution

The third proportional to 538,436,872 and 1,171,212,826 is: 2,547,632,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,436,872 : 1,171,212,826 = 1,171,212,826 : x
  2. Step 2: Convert to fraction form
    538,436,872/1,171,212,826 = 1,171,212,826/x
  3. Step 3: Cross multiply
    538,436,872x = 1,171,212,826 × 1,171,212,826
  4. Step 4: Simplify right side
    538,436,872x = 1,371,739,483,786,906,368
  5. Step 5: Solve for x
    x = 1,371,739,483,786,906,368/538,436,872
  6. Step 6: Final answer
    x = 2,547,632,889.05

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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.