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Finding the Third Proportional to 30,905,020,916 and 66,944,309,163

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Solution

The third proportional to 30,905,020,916 and 66,944,309,163 is: 145,010,111,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905,020,916 : 66,944,309,163 = 66,944,309,163 : x
  2. Step 2: Convert to fraction form
    30,905,020,916/66,944,309,163 = 66,944,309,163/x
  3. Step 3: Cross multiply
    30,905,020,916x = 66,944,309,163 × 66,944,309,163
  4. Step 4: Simplify right side
    30,905,020,916x = 4,481,540,529,311,325,880,320
  5. Step 5: Solve for x
    x = 4,481,540,529,311,325,880,320/30,905,020,916
  6. Step 6: Final answer
    x = 145,010,111,512.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.