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Finding the Third Proportional to 4,074,349 and 8,483,397

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Solution

The third proportional to 4,074,349 and 8,483,397 is: 17,663,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074,349 : 8,483,397 = 8,483,397 : x
  2. Step 2: Convert to fraction form
    4,074,349/8,483,397 = 8,483,397/x
  3. Step 3: Cross multiply
    4,074,349x = 8,483,397 × 8,483,397
  4. Step 4: Simplify right side
    4,074,349x = 71,968,024,659,609
  5. Step 5: Solve for x
    x = 71,968,024,659,609/4,074,349
  6. Step 6: Final answer
    x = 17,663,686.80

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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.