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Finding the Third Proportional to 37,992,564 and 89,597,016

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Solution

The third proportional to 37,992,564 and 89,597,016 is: 211,294,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,992,564 : 89,597,016 = 89,597,016 : x
  2. Step 2: Convert to fraction form
    37,992,564/89,597,016 = 89,597,016/x
  3. Step 3: Cross multiply
    37,992,564x = 89,597,016 × 89,597,016
  4. Step 4: Simplify right side
    37,992,564x = 8,027,625,276,104,256
  5. Step 5: Solve for x
    x = 8,027,625,276,104,256/37,992,564
  6. Step 6: Final answer
    x = 211,294,643.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.