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Finding the Third Proportional to 3,782,658 and 8,208,294

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Solution

The third proportional to 3,782,658 and 8,208,294 is: 17,811,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,658 : 8,208,294 = 8,208,294 : x
  2. Step 2: Convert to fraction form
    3,782,658/8,208,294 = 8,208,294/x
  3. Step 3: Cross multiply
    3,782,658x = 8,208,294 × 8,208,294
  4. Step 4: Simplify right side
    3,782,658x = 67,376,090,390,436
  5. Step 5: Solve for x
    x = 67,376,090,390,436/3,782,658
  6. Step 6: Final answer
    x = 17,811,837.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.