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Finding the Third Proportional to 3,637,793.53 and 5,706,615.80

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Solution

The third proportional to 3,637,793.53 and 5,706,615.80 is: 8,951,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637,793.53 : 5,706,615.80 = 5,706,615.80 : x
  2. Step 2: Convert to fraction form
    3,637,793.53/5,706,615.80 = 5,706,615.80/x
  3. Step 3: Cross multiply
    3,637,793.53x = 5,706,615.80 × 5,706,615.80
  4. Step 4: Simplify right side
    3,637,793.53x = 32,565,463,853,143.29
  5. Step 5: Solve for x
    x = 32,565,463,853,143.29/3,637,793.53
  6. Step 6: Final answer
    x = 8,951,982.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.