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Finding the Third Proportional to 35,188,674,709,326 and 75,755,274,307,640

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Solution

The third proportional to 35,188,674,709,326 and 75,755,274,307,640 is: 163,088,312,726,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188,674,709,326 : 75,755,274,307,640 = 75,755,274,307,640 : x
  2. Step 2: Convert to fraction form
    35,188,674,709,326/75,755,274,307,640 = 75,755,274,307,640/x
  3. Step 3: Cross multiply
    35,188,674,709,326x = 75,755,274,307,640 × 75,755,274,307,640
  4. Step 4: Simplify right side
    35,188,674,709,326x = 5,738,861,585,425,781,196,649,922,560
  5. Step 5: Solve for x
    x = 5,738,861,585,425,781,196,649,922,560/35,188,674,709,326
  6. Step 6: Final answer
    x = 163,088,312,726,504

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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.