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Finding the Third Proportional to 3,494,814 and 7,475,514

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Solution

The third proportional to 3,494,814 and 7,475,514 is: 15,990,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,814 : 7,475,514 = 7,475,514 : x
  2. Step 2: Convert to fraction form
    3,494,814/7,475,514 = 7,475,514/x
  3. Step 3: Cross multiply
    3,494,814x = 7,475,514 × 7,475,514
  4. Step 4: Simplify right side
    3,494,814x = 55,883,309,564,196
  5. Step 5: Solve for x
    x = 55,883,309,564,196/3,494,814
  6. Step 6: Final answer
    x = 15,990,353.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.