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Finding the Third Proportional to 3,401,046,238 and 7,323,706,556

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Solution

The third proportional to 3,401,046,238 and 7,323,706,556 is: 15,770,640,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,046,238 : 7,323,706,556 = 7,323,706,556 : x
  2. Step 2: Convert to fraction form
    3,401,046,238/7,323,706,556 = 7,323,706,556/x
  3. Step 3: Cross multiply
    3,401,046,238x = 7,323,706,556 × 7,323,706,556
  4. Step 4: Simplify right side
    3,401,046,238x = 53,636,677,718,397,378,560
  5. Step 5: Solve for x
    x = 53,636,677,718,397,378,560/3,401,046,238
  6. Step 6: Final answer
    x = 15,770,640,551.46

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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.