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Finding the Third Proportional to 132,700,491,806 and 292,449,570,116

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Solution

The third proportional to 132,700,491,806 and 292,449,570,116 is: 644,509,676,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,700,491,806 : 292,449,570,116 = 292,449,570,116 : x
  2. Step 2: Convert to fraction form
    132,700,491,806/292,449,570,116 = 292,449,570,116/x
  3. Step 3: Cross multiply
    132,700,491,806x = 292,449,570,116 × 292,449,570,116
  4. Step 4: Simplify right side
    132,700,491,806x = 85,526,751,061,033,198,026,752
  5. Step 5: Solve for x
    x = 85,526,751,061,033,198,026,752/132,700,491,806
  6. Step 6: Final answer
    x = 644,509,676,618.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.