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Finding the Third Proportional to 2,302,282,305 and 5,063,624,631

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Solution

The third proportional to 2,302,282,305 and 5,063,624,631 is: 11,136,902,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,282,305 : 5,063,624,631 = 5,063,624,631 : x
  2. Step 2: Convert to fraction form
    2,302,282,305/5,063,624,631 = 5,063,624,631/x
  3. Step 3: Cross multiply
    2,302,282,305x = 5,063,624,631 × 5,063,624,631
  4. Step 4: Simplify right side
    2,302,282,305x = 25,640,294,403,669,884,928
  5. Step 5: Solve for x
    x = 25,640,294,403,669,884,928/2,302,282,305
  6. Step 6: Final answer
    x = 11,136,902,867.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.