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Finding the Third Proportional to 3,527,667 and 7,727,961

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Solution

The third proportional to 3,527,667 and 7,727,961 is: 16,929,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527,667 : 7,727,961 = 7,727,961 : x
  2. Step 2: Convert to fraction form
    3,527,667/7,727,961 = 7,727,961/x
  3. Step 3: Cross multiply
    3,527,667x = 7,727,961 × 7,727,961
  4. Step 4: Simplify right side
    3,527,667x = 59,721,381,217,521
  5. Step 5: Solve for x
    x = 59,721,381,217,521/3,527,667
  6. Step 6: Final answer
    x = 16,929,427.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.