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Finding the Third Proportional to 3,201,041 and 6,872,287

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Solution

The third proportional to 3,201,041 and 6,872,287 is: 14,754,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,041 : 6,872,287 = 6,872,287 : x
  2. Step 2: Convert to fraction form
    3,201,041/6,872,287 = 6,872,287/x
  3. Step 3: Cross multiply
    3,201,041x = 6,872,287 × 6,872,287
  4. Step 4: Simplify right side
    3,201,041x = 47,228,328,610,369
  5. Step 5: Solve for x
    x = 47,228,328,610,369/3,201,041
  6. Step 6: Final answer
    x = 14,754,053.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.