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Finding the Third Proportional to 38,226,137 and 82,537,978

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Solution

The third proportional to 38,226,137 and 82,537,978 is: 178,216,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226,137 : 82,537,978 = 82,537,978 : x
  2. Step 2: Convert to fraction form
    38,226,137/82,537,978 = 82,537,978/x
  3. Step 3: Cross multiply
    38,226,137x = 82,537,978 × 82,537,978
  4. Step 4: Simplify right side
    38,226,137x = 6,812,517,812,328,484
  5. Step 5: Solve for x
    x = 6,812,517,812,328,484/38,226,137
  6. Step 6: Final answer
    x = 178,216,224.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.