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Finding the Third Proportional to 301,861,253,664 and 646,126,839,360

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Solution

The third proportional to 301,861,253,664 and 646,126,839,360 is: 1,383,019,143,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861,253,664 : 646,126,839,360 = 646,126,839,360 : x
  2. Step 2: Convert to fraction form
    301,861,253,664/646,126,839,360 = 646,126,839,360/x
  3. Step 3: Cross multiply
    301,861,253,664x = 646,126,839,360 × 646,126,839,360
  4. Step 4: Simplify right side
    301,861,253,664x = 417,479,892,541,343,275,155,456
  5. Step 5: Solve for x
    x = 417,479,892,541,343,275,155,456/301,861,253,664
  6. Step 6: Final answer
    x = 1,383,019,143,642.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.