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Finding the Third Proportional to 13,308,859,182 and 20,673,558,546

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Solution

The third proportional to 13,308,859,182 and 20,673,558,546 is: 32,113,648,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308,859,182 : 20,673,558,546 = 20,673,558,546 : x
  2. Step 2: Convert to fraction form
    13,308,859,182/20,673,558,546 = 20,673,558,546/x
  3. Step 3: Cross multiply
    13,308,859,182x = 20,673,558,546 × 20,673,558,546
  4. Step 4: Simplify right side
    13,308,859,182x = 427,396,022,954,889,641,984
  5. Step 5: Solve for x
    x = 427,396,022,954,889,641,984/13,308,859,182
  6. Step 6: Final answer
    x = 32,113,648,293.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.