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Finding the Third Proportional to 3,141,210 and 6,838,647

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Solution

The third proportional to 3,141,210 and 6,838,647 is: 14,888,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,210 : 6,838,647 = 6,838,647 : x
  2. Step 2: Convert to fraction form
    3,141,210/6,838,647 = 6,838,647/x
  3. Step 3: Cross multiply
    3,141,210x = 6,838,647 × 6,838,647
  4. Step 4: Simplify right side
    3,141,210x = 46,767,092,790,609
  5. Step 5: Solve for x
    x = 46,767,092,790,609/3,141,210
  6. Step 6: Final answer
    x = 14,888,241.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.