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Finding the Third Proportional to 4,377,783,492,994 and 9,414,408,348,166

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Solution

The third proportional to 4,377,783,492,994 and 9,414,408,348,166 is: 20,245,652,780,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377,783,492,994 : 9,414,408,348,166 = 9,414,408,348,166 : x
  2. Step 2: Convert to fraction form
    4,377,783,492,994/9,414,408,348,166 = 9,414,408,348,166/x
  3. Step 3: Cross multiply
    4,377,783,492,994x = 9,414,408,348,166 × 9,414,408,348,166
  4. Step 4: Simplify right side
    4,377,783,492,994x = 88,631,084,546,017,671,902,134,272
  5. Step 5: Solve for x
    x = 88,631,084,546,017,671,902,134,272/4,377,783,492,994
  6. Step 6: Final answer
    x = 20,245,652,780,193.15

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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.