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Finding the Third Proportional to 3,288,487,806 and 7,760,242,728

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Solution

The third proportional to 3,288,487,806 and 7,760,242,728 is: 18,312,784,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,487,806 : 7,760,242,728 = 7,760,242,728 : x
  2. Step 2: Convert to fraction form
    3,288,487,806/7,760,242,728 = 7,760,242,728/x
  3. Step 3: Cross multiply
    3,288,487,806x = 7,760,242,728 × 7,760,242,728
  4. Step 4: Simplify right side
    3,288,487,806x = 60,221,367,197,476,880,384
  5. Step 5: Solve for x
    x = 60,221,367,197,476,880,384/3,288,487,806
  6. Step 6: Final answer
    x = 18,312,784,097.18

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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.