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Finding the Third Proportional to 3,411,184 and 7,463,279

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Solution

The third proportional to 3,411,184 and 7,463,279 is: 16,328,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,184 : 7,463,279 = 7,463,279 : x
  2. Step 2: Convert to fraction form
    3,411,184/7,463,279 = 7,463,279/x
  3. Step 3: Cross multiply
    3,411,184x = 7,463,279 × 7,463,279
  4. Step 4: Simplify right side
    3,411,184x = 55,700,533,431,841
  5. Step 5: Solve for x
    x = 55,700,533,431,841/3,411,184
  6. Step 6: Final answer
    x = 16,328,797.69

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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.