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Finding the Third Proportional to 1,823,647,198 and 4,300,666,837

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Solution

The third proportional to 1,823,647,198 and 4,300,666,837 is: 10,142,167,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,647,198 : 4,300,666,837 = 4,300,666,837 : x
  2. Step 2: Convert to fraction form
    1,823,647,198/4,300,666,837 = 4,300,666,837/x
  3. Step 3: Cross multiply
    1,823,647,198x = 4,300,666,837 × 4,300,666,837
  4. Step 4: Simplify right side
    1,823,647,198x = 18,495,735,242,871,582,720
  5. Step 5: Solve for x
    x = 18,495,735,242,871,582,720/1,823,647,198
  6. Step 6: Final answer
    x = 10,142,167,445.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.