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Finding the Third Proportional to 4,190,920,344 and 6,984,446,292

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Solution

The third proportional to 4,190,920,344 and 6,984,446,292 is: 11,640,042,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,920,344 : 6,984,446,292 = 6,984,446,292 : x
  2. Step 2: Convert to fraction form
    4,190,920,344/6,984,446,292 = 6,984,446,292/x
  3. Step 3: Cross multiply
    4,190,920,344x = 6,984,446,292 × 6,984,446,292
  4. Step 4: Simplify right side
    4,190,920,344x = 48,782,490,005,832,548,352
  5. Step 5: Solve for x
    x = 48,782,490,005,832,548,352/4,190,920,344
  6. Step 6: Final answer
    x = 11,640,042,282.28

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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.