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Finding the Third Proportional to 37,253,864 and 81,433,230

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Solution

The third proportional to 37,253,864 and 81,433,230 is: 178,004,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,253,864 : 81,433,230 = 81,433,230 : x
  2. Step 2: Convert to fraction form
    37,253,864/81,433,230 = 81,433,230/x
  3. Step 3: Cross multiply
    37,253,864x = 81,433,230 × 81,433,230
  4. Step 4: Simplify right side
    37,253,864x = 6,631,370,948,232,900
  5. Step 5: Solve for x
    x = 6,631,370,948,232,900/37,253,864
  6. Step 6: Final answer
    x = 178,004,916.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.