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Finding the Third Proportional to 382,126,064 and 572,589,046

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Solution

The third proportional to 382,126,064 and 572,589,046 is: 857,984,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,126,064 : 572,589,046 = 572,589,046 : x
  2. Step 2: Convert to fraction form
    382,126,064/572,589,046 = 572,589,046/x
  3. Step 3: Cross multiply
    382,126,064x = 572,589,046 × 572,589,046
  4. Step 4: Simplify right side
    382,126,064x = 327,858,215,599,190,144
  5. Step 5: Solve for x
    x = 327,858,215,599,190,144/382,126,064
  6. Step 6: Final answer
    x = 857,984,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.