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Finding the Third Proportional to 3,042,912 and 6,425,349

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Solution

The third proportional to 3,042,912 and 6,425,349 is: 13,567,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,912 : 6,425,349 = 6,425,349 : x
  2. Step 2: Convert to fraction form
    3,042,912/6,425,349 = 6,425,349/x
  3. Step 3: Cross multiply
    3,042,912x = 6,425,349 × 6,425,349
  4. Step 4: Simplify right side
    3,042,912x = 41,285,109,771,801
  5. Step 5: Solve for x
    x = 41,285,109,771,801/3,042,912
  6. Step 6: Final answer
    x = 13,567,631.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.