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Finding the Third Proportional to 4,131,769,161 and 8,852,989,452

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Solution

The third proportional to 4,131,769,161 and 8,852,989,452 is: 18,968,974,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131,769,161 : 8,852,989,452 = 8,852,989,452 : x
  2. Step 2: Convert to fraction form
    4,131,769,161/8,852,989,452 = 8,852,989,452/x
  3. Step 3: Cross multiply
    4,131,769,161x = 8,852,989,452 × 8,852,989,452
  4. Step 4: Simplify right side
    4,131,769,161x = 78,375,422,237,223,256,064
  5. Step 5: Solve for x
    x = 78,375,422,237,223,256,064/4,131,769,161
  6. Step 6: Final answer
    x = 18,968,974,108.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.