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Finding the Third Proportional to 3,433,186 and 7,456,285

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Solution

The third proportional to 3,433,186 and 7,456,285 is: 16,193,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,186 : 7,456,285 = 7,456,285 : x
  2. Step 2: Convert to fraction form
    3,433,186/7,456,285 = 7,456,285/x
  3. Step 3: Cross multiply
    3,433,186x = 7,456,285 × 7,456,285
  4. Step 4: Simplify right side
    3,433,186x = 55,596,186,001,225
  5. Step 5: Solve for x
    x = 55,596,186,001,225/3,433,186
  6. Step 6: Final answer
    x = 16,193,758.80

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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.