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Finding the Third Proportional to 38,022,900 and 82,106,376

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Solution

The third proportional to 38,022,900 and 82,106,376 is: 177,299,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022,900 : 82,106,376 = 82,106,376 : x
  2. Step 2: Convert to fraction form
    38,022,900/82,106,376 = 82,106,376/x
  3. Step 3: Cross multiply
    38,022,900x = 82,106,376 × 82,106,376
  4. Step 4: Simplify right side
    38,022,900x = 6,741,456,979,853,376
  5. Step 5: Solve for x
    x = 6,741,456,979,853,376/38,022,900
  6. Step 6: Final answer
    x = 177,299,916.10

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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.