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Finding the Third Proportional to 386,157,675,033 and 831,332,021,103

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Solution

The third proportional to 386,157,675,033 and 831,332,021,103 is: 1,789,716,931,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,157,675,033 : 831,332,021,103 = 831,332,021,103 : x
  2. Step 2: Convert to fraction form
    386,157,675,033/831,332,021,103 = 831,332,021,103/x
  3. Step 3: Cross multiply
    386,157,675,033x = 831,332,021,103 × 831,332,021,103
  4. Step 4: Simplify right side
    386,157,675,033x = 691,112,929,311,198,801,821,696
  5. Step 5: Solve for x
    x = 691,112,929,311,198,801,821,696/386,157,675,033
  6. Step 6: Final answer
    x = 1,789,716,931,696.72

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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.