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Finding the Third Proportional to 298,407,954,042 and 649,100,136,546

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Solution

The third proportional to 298,407,954,042 and 649,100,136,546 is: 1,411,929,479,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407,954,042 : 649,100,136,546 = 649,100,136,546 : x
  2. Step 2: Convert to fraction form
    298,407,954,042/649,100,136,546 = 649,100,136,546/x
  3. Step 3: Cross multiply
    298,407,954,042x = 649,100,136,546 × 649,100,136,546
  4. Step 4: Simplify right side
    298,407,954,042x = 421,330,987,264,035,843,473,408
  5. Step 5: Solve for x
    x = 421,330,987,264,035,843,473,408/298,407,954,042
  6. Step 6: Final answer
    x = 1,411,929,479,616.80

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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.