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Finding the Third Proportional to 4,190,920,256 and 6,984,446,160

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Solution

The third proportional to 4,190,920,256 and 6,984,446,160 is: 11,640,042,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,920,256 : 6,984,446,160 = 6,984,446,160 : x
  2. Step 2: Convert to fraction form
    4,190,920,256/6,984,446,160 = 6,984,446,160/x
  3. Step 3: Cross multiply
    4,190,920,256x = 6,984,446,160 × 6,984,446,160
  4. Step 4: Simplify right side
    4,190,920,256x = 48,782,488,161,938,743,296
  5. Step 5: Solve for x
    x = 48,782,488,161,938,743,296/4,190,920,256
  6. Step 6: Final answer
    x = 11,640,042,086.72

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.