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Finding the Third Proportional to 275,802,167,574 and 388,220,984,235

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Solution

The third proportional to 275,802,167,574 and 388,220,984,235 is: 546,462,465,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,802,167,574 : 388,220,984,235 = 388,220,984,235 : x
  2. Step 2: Convert to fraction form
    275,802,167,574/388,220,984,235 = 388,220,984,235/x
  3. Step 3: Cross multiply
    275,802,167,574x = 388,220,984,235 × 388,220,984,235
  4. Step 4: Simplify right side
    275,802,167,574x = 150,715,532,600,392,126,824,448
  5. Step 5: Solve for x
    x = 150,715,532,600,392,126,824,448/275,802,167,574
  6. Step 6: Final answer
    x = 546,462,465,926.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.