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Finding the Third Proportional to 476,068,638 and 735,327,256

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Solution

The third proportional to 476,068,638 and 735,327,256 is: 1,135,773,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,068,638 : 735,327,256 = 735,327,256 : x
  2. Step 2: Convert to fraction form
    476,068,638/735,327,256 = 735,327,256/x
  3. Step 3: Cross multiply
    476,068,638x = 735,327,256 × 735,327,256
  4. Step 4: Simplify right side
    476,068,638x = 540,706,173,416,489,536
  5. Step 5: Solve for x
    x = 540,706,173,416,489,536/476,068,638
  6. Step 6: Final answer
    x = 1,135,773,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.