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Finding the Third Proportional to 4,377,783,492,995 and 9,414,408,348,168

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Solution

The third proportional to 4,377,783,492,995 and 9,414,408,348,168 is: 20,245,652,780,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377,783,492,995 : 9,414,408,348,168 = 9,414,408,348,168 : x
  2. Step 2: Convert to fraction form
    4,377,783,492,995/9,414,408,348,168 = 9,414,408,348,168/x
  3. Step 3: Cross multiply
    4,377,783,492,995x = 9,414,408,348,168 × 9,414,408,348,168
  4. Step 4: Simplify right side
    4,377,783,492,995x = 88,631,084,546,055,330,175,385,600
  5. Step 5: Solve for x
    x = 88,631,084,546,055,330,175,385,600/4,377,783,492,995
  6. Step 6: Final answer
    x = 20,245,652,780,197.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.