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Finding the Third Proportional to 3,464,427,586 and 8,083,943,749

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Solution

The third proportional to 3,464,427,586 and 8,083,943,749 is: 18,863,187,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,427,586 : 8,083,943,749 = 8,083,943,749 : x
  2. Step 2: Convert to fraction form
    3,464,427,586/8,083,943,749 = 8,083,943,749/x
  3. Step 3: Cross multiply
    3,464,427,586x = 8,083,943,749 × 8,083,943,749
  4. Step 4: Simplify right side
    3,464,427,586x = 65,350,146,536,996,175,872
  5. Step 5: Solve for x
    x = 65,350,146,536,996,175,872/3,464,427,586
  6. Step 6: Final answer
    x = 18,863,187,327.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.