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Finding the Third Proportional to 12,384,476 and 27,979,654

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Solution

The third proportional to 12,384,476 and 27,979,654 is: 63,213,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384,476 : 27,979,654 = 27,979,654 : x
  2. Step 2: Convert to fraction form
    12,384,476/27,979,654 = 27,979,654/x
  3. Step 3: Cross multiply
    12,384,476x = 27,979,654 × 27,979,654
  4. Step 4: Simplify right side
    12,384,476x = 782,861,037,959,716
  5. Step 5: Solve for x
    x = 782,861,037,959,716/12,384,476
  6. Step 6: Final answer
    x = 63,213,093.39

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.