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Finding the Third Proportional to 4,377,783,492,990 and 9,414,408,348,158

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Solution

The third proportional to 4,377,783,492,990 and 9,414,408,348,158 is: 20,245,652,780,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377,783,492,990 : 9,414,408,348,158 = 9,414,408,348,158 : x
  2. Step 2: Convert to fraction form
    4,377,783,492,990/9,414,408,348,158 = 9,414,408,348,158/x
  3. Step 3: Cross multiply
    4,377,783,492,990x = 9,414,408,348,158 × 9,414,408,348,158
  4. Step 4: Simplify right side
    4,377,783,492,990x = 88,631,084,545,867,038,809,128,960
  5. Step 5: Solve for x
    x = 88,631,084,545,867,038,809,128,960/4,377,783,492,990
  6. Step 6: Final answer
    x = 20,245,652,780,177.24

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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.