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Finding the Third Proportional to 8,004,476 and 17,503,648

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Solution

The third proportional to 8,004,476 and 17,503,648 is: 38,275,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004,476 : 17,503,648 = 17,503,648 : x
  2. Step 2: Convert to fraction form
    8,004,476/17,503,648 = 17,503,648/x
  3. Step 3: Cross multiply
    8,004,476x = 17,503,648 × 17,503,648
  4. Step 4: Simplify right side
    8,004,476x = 306,377,693,307,904
  5. Step 5: Solve for x
    x = 306,377,693,307,904/8,004,476
  6. Step 6: Final answer
    x = 38,275,796.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.