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Finding the Third Proportional to 38,296,324,188 and 83,806,836,358.50

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Solution

The third proportional to 38,296,324,188 and 83,806,836,358.50 is: 183,401,043,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296,324,188 : 83,806,836,358.50 = 83,806,836,358.50 : x
  2. Step 2: Convert to fraction form
    38,296,324,188/83,806,836,358.50 = 83,806,836,358.50/x
  3. Step 3: Cross multiply
    38,296,324,188x = 83,806,836,358.50 × 83,806,836,358.50
  4. Step 4: Simplify right side
    38,296,324,188x = 7,023,585,820,420,397,334,528
  5. Step 5: Solve for x
    x = 7,023,585,820,420,397,334,528/38,296,324,188
  6. Step 6: Final answer
    x = 183,401,043,555.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.