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Finding the Third Proportional to 38,296,324,106 and 83,806,836,205

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Solution

The third proportional to 38,296,324,106 and 83,806,836,205 is: 183,401,043,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296,324,106 : 83,806,836,205 = 83,806,836,205 : x
  2. Step 2: Convert to fraction form
    38,296,324,106/83,806,836,205 = 83,806,836,205/x
  3. Step 3: Cross multiply
    38,296,324,106x = 83,806,836,205 × 83,806,836,205
  4. Step 4: Simplify right side
    38,296,324,106x = 7,023,585,794,691,698,786,304
  5. Step 5: Solve for x
    x = 7,023,585,794,691,698,786,304/38,296,324,106
  6. Step 6: Final answer
    x = 183,401,043,276.40

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Why These Related Problems?

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