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Finding the Third Proportional to 19,731,109,234.50 and 40,508,224,488

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Solution

The third proportional to 19,731,109,234.50 and 40,508,224,488 is: 83,163,912,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731,109,234.50 : 40,508,224,488 = 40,508,224,488 : x
  2. Step 2: Convert to fraction form
    19,731,109,234.50/40,508,224,488 = 40,508,224,488/x
  3. Step 3: Cross multiply
    19,731,109,234.50x = 40,508,224,488 × 40,508,224,488
  4. Step 4: Simplify right side
    19,731,109,234.50x = 1,640,916,251,170,202,976,256
  5. Step 5: Solve for x
    x = 1,640,916,251,170,202,976,256/19,731,109,234.50
  6. Step 6: Final answer
    x = 83,163,912,969.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.