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Finding the Third Proportional to 3,207,969 and 6,681,407

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Solution

The third proportional to 3,207,969 and 6,681,407 is: 13,915,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,969 : 6,681,407 = 6,681,407 : x
  2. Step 2: Convert to fraction form
    3,207,969/6,681,407 = 6,681,407/x
  3. Step 3: Cross multiply
    3,207,969x = 6,681,407 × 6,681,407
  4. Step 4: Simplify right side
    3,207,969x = 44,641,199,499,649
  5. Step 5: Solve for x
    x = 44,641,199,499,649/3,207,969
  6. Step 6: Final answer
    x = 13,915,720.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.