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Finding the Third Proportional to 3,401,046,240 and 7,323,706,560

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Solution

The third proportional to 3,401,046,240 and 7,323,706,560 is: 15,770,640,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,046,240 : 7,323,706,560 = 7,323,706,560 : x
  2. Step 2: Convert to fraction form
    3,401,046,240/7,323,706,560 = 7,323,706,560/x
  3. Step 3: Cross multiply
    3,401,046,240x = 7,323,706,560 × 7,323,706,560
  4. Step 4: Simplify right side
    3,401,046,240x = 53,636,677,776,987,029,504
  5. Step 5: Solve for x
    x = 53,636,677,776,987,029,504/3,401,046,240
  6. Step 6: Final answer
    x = 15,770,640,559.41

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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.