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Finding the Third Proportional to 37,906,312 and 81,865,025

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Solution

The third proportional to 37,906,312 and 81,865,025 is: 176,801,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906,312 : 81,865,025 = 81,865,025 : x
  2. Step 2: Convert to fraction form
    37,906,312/81,865,025 = 81,865,025/x
  3. Step 3: Cross multiply
    37,906,312x = 81,865,025 × 81,865,025
  4. Step 4: Simplify right side
    37,906,312x = 6,701,882,318,250,625
  5. Step 5: Solve for x
    x = 6,701,882,318,250,625/37,906,312
  6. Step 6: Final answer
    x = 176,801,222.93

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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.