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Finding the Third Proportional to 8,343,984 and 17,327,453

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Solution

The third proportional to 8,343,984 and 17,327,453 is: 35,982,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343,984 : 17,327,453 = 17,327,453 : x
  2. Step 2: Convert to fraction form
    8,343,984/17,327,453 = 17,327,453/x
  3. Step 3: Cross multiply
    8,343,984x = 17,327,453 × 17,327,453
  4. Step 4: Simplify right side
    8,343,984x = 300,240,627,467,209
  5. Step 5: Solve for x
    x = 300,240,627,467,209/8,343,984
  6. Step 6: Final answer
    x = 35,982,886.29

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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.