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Finding the Third Proportional to 66,867,827 and 92,396,256

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Solution

The third proportional to 66,867,827 and 92,396,256 is: 127,670,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,867,827 : 92,396,256 = 92,396,256 : x
  2. Step 2: Convert to fraction form
    66,867,827/92,396,256 = 92,396,256/x
  3. Step 3: Cross multiply
    66,867,827x = 92,396,256 × 92,396,256
  4. Step 4: Simplify right side
    66,867,827x = 8,537,068,122,817,536
  5. Step 5: Solve for x
    x = 8,537,068,122,817,536/66,867,827
  6. Step 6: Final answer
    x = 127,670,787.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.