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Finding the Third Proportional to 4,190,920,254 and 6,984,446,157

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Solution

The third proportional to 4,190,920,254 and 6,984,446,157 is: 11,640,042,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,920,254 : 6,984,446,157 = 6,984,446,157 : x
  2. Step 2: Convert to fraction form
    4,190,920,254/6,984,446,157 = 6,984,446,157/x
  3. Step 3: Cross multiply
    4,190,920,254x = 6,984,446,157 × 6,984,446,157
  4. Step 4: Simplify right side
    4,190,920,254x = 48,782,488,120,032,067,584
  5. Step 5: Solve for x
    x = 48,782,488,120,032,067,584/4,190,920,254
  6. Step 6: Final answer
    x = 11,640,042,082.28

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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.