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Finding the Third Proportional to 122,639,504 and 267,051,824

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Solution

The third proportional to 122,639,504 and 267,051,824 is: 581,514,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,639,504 : 267,051,824 = 267,051,824 : x
  2. Step 2: Convert to fraction form
    122,639,504/267,051,824 = 267,051,824/x
  3. Step 3: Cross multiply
    122,639,504x = 267,051,824 × 267,051,824
  4. Step 4: Simplify right side
    122,639,504x = 71,316,676,701,726,976
  5. Step 5: Solve for x
    x = 71,316,676,701,726,976/122,639,504
  6. Step 6: Final answer
    x = 581,514,718.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.