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Finding the Third Proportional to 36,671,625 and 77,715,153

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Solution

The third proportional to 36,671,625 and 77,715,153 is: 164,695,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,671,625 : 77,715,153 = 77,715,153 : x
  2. Step 2: Convert to fraction form
    36,671,625/77,715,153 = 77,715,153/x
  3. Step 3: Cross multiply
    36,671,625x = 77,715,153 × 77,715,153
  4. Step 4: Simplify right side
    36,671,625x = 6,039,645,005,813,409
  5. Step 5: Solve for x
    x = 6,039,645,005,813,409/36,671,625
  6. Step 6: Final answer
    x = 164,695,319.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.