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Finding the Third Proportional to 8,293,327 and 17,248,747

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Solution

The third proportional to 8,293,327 and 17,248,747 is: 35,874,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293,327 : 17,248,747 = 17,248,747 : x
  2. Step 2: Convert to fraction form
    8,293,327/17,248,747 = 17,248,747/x
  3. Step 3: Cross multiply
    8,293,327x = 17,248,747 × 17,248,747
  4. Step 4: Simplify right side
    8,293,327x = 297,519,273,070,009
  5. Step 5: Solve for x
    x = 297,519,273,070,009/8,293,327
  6. Step 6: Final answer
    x = 35,874,537.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.