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Finding the Third Proportional to 3,207,984.75 and 6,681,436.88

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Solution

The third proportional to 3,207,984.75 and 6,681,436.88 is: 13,915,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,984.75 : 6,681,436.88 = 6,681,436.88 : x
  2. Step 2: Convert to fraction form
    3,207,984.75/6,681,436.88 = 6,681,436.88/x
  3. Step 3: Cross multiply
    3,207,984.75x = 6,681,436.88 × 6,681,436.88
  4. Step 4: Simplify right side
    3,207,984.75x = 44,641,598,714,609.77
  5. Step 5: Solve for x
    x = 44,641,598,714,609.77/3,207,984.75
  6. Step 6: Final answer
    x = 13,915,776.47

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