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Finding the Third Proportional to 122,639,510 and 267,051,836

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Solution

The third proportional to 122,639,510 and 267,051,836 is: 581,514,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,639,510 : 267,051,836 = 267,051,836 : x
  2. Step 2: Convert to fraction form
    122,639,510/267,051,836 = 267,051,836/x
  3. Step 3: Cross multiply
    122,639,510x = 267,051,836 × 267,051,836
  4. Step 4: Simplify right side
    122,639,510x = 71,316,683,110,970,896
  5. Step 5: Solve for x
    x = 71,316,683,110,970,896/122,639,510
  6. Step 6: Final answer
    x = 581,514,742.77

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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.