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Finding the Third Proportional to 7,970,529 and 17,074,893

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Solution

The third proportional to 7,970,529 and 17,074,893 is: 36,578,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,529 : 17,074,893 = 17,074,893 : x
  2. Step 2: Convert to fraction form
    7,970,529/17,074,893 = 17,074,893/x
  3. Step 3: Cross multiply
    7,970,529x = 17,074,893 × 17,074,893
  4. Step 4: Simplify right side
    7,970,529x = 291,551,970,961,449
  5. Step 5: Solve for x
    x = 291,551,970,961,449/7,970,529
  6. Step 6: Final answer
    x = 36,578,747.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.