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Finding the Third Proportional to 6,396,417 and 13,855,716

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Solution

The third proportional to 6,396,417 and 13,855,716 is: 30,013,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,417 : 13,855,716 = 13,855,716 : x
  2. Step 2: Convert to fraction form
    6,396,417/13,855,716 = 13,855,716/x
  3. Step 3: Cross multiply
    6,396,417x = 13,855,716 × 13,855,716
  4. Step 4: Simplify right side
    6,396,417x = 191,980,865,872,656
  5. Step 5: Solve for x
    x = 191,980,865,872,656/6,396,417
  6. Step 6: Final answer
    x = 30,013,813.34

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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.