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Finding the Third Proportional to 353,668,004,071.50 and 769,302,302,091

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Solution

The third proportional to 353,668,004,071.50 and 769,302,302,091 is: 1,673,394,327,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,668,004,071.50 : 769,302,302,091 = 769,302,302,091 : x
  2. Step 2: Convert to fraction form
    353,668,004,071.50/769,302,302,091 = 769,302,302,091/x
  3. Step 3: Cross multiply
    353,668,004,071.50x = 769,302,302,091 × 769,302,302,091
  4. Step 4: Simplify right side
    353,668,004,071.50x = 591,826,032,002,512,206,168,064
  5. Step 5: Solve for x
    x = 591,826,032,002,512,206,168,064/353,668,004,071.50
  6. Step 6: Final answer
    x = 1,673,394,327,983.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.