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Finding the Third Proportional to 3,850,528,346 and 8,439,228,244

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Solution

The third proportional to 3,850,528,346 and 8,439,228,244 is: 18,496,311,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850,528,346 : 8,439,228,244 = 8,439,228,244 : x
  2. Step 2: Convert to fraction form
    3,850,528,346/8,439,228,244 = 8,439,228,244/x
  3. Step 3: Cross multiply
    3,850,528,346x = 8,439,228,244 × 8,439,228,244
  4. Step 4: Simplify right side
    3,850,528,346x = 71,220,573,354,327,326,720
  5. Step 5: Solve for x
    x = 71,220,573,354,327,326,720/3,850,528,346
  6. Step 6: Final answer
    x = 18,496,311,922.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.