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Finding the Third Proportional to 8,207,878.50 and 12,265,877.25

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Solution

The third proportional to 8,207,878.50 and 12,265,877.25 is: 18,330,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,878.50 : 12,265,877.25 = 12,265,877.25 : x
  2. Step 2: Convert to fraction form
    8,207,878.50/12,265,877.25 = 12,265,877.25/x
  3. Step 3: Cross multiply
    8,207,878.50x = 12,265,877.25 × 12,265,877.25
  4. Step 4: Simplify right side
    8,207,878.50x = 150,451,744,712,067.56
  5. Step 5: Solve for x
    x = 150,451,744,712,067.56/8,207,878.50
  6. Step 6: Final answer
    x = 18,330,162.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.