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Finding the Third Proportional to 4,916,522,625 and 10,813,703,362

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Solution

The third proportional to 4,916,522,625 and 10,813,703,362 is: 23,784,326,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916,522,625 : 10,813,703,362 = 10,813,703,362 : x
  2. Step 2: Convert to fraction form
    4,916,522,625/10,813,703,362 = 10,813,703,362/x
  3. Step 3: Cross multiply
    4,916,522,625x = 10,813,703,362 × 10,813,703,362
  4. Step 4: Simplify right side
    4,916,522,625x = 116,936,180,401,330,110,464
  5. Step 5: Solve for x
    x = 116,936,180,401,330,110,464/4,916,522,625
  6. Step 6: Final answer
    x = 23,784,326,712.28

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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.