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Finding the Third Proportional to 5,430,722.50 and 8,201,443

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Solution

The third proportional to 5,430,722.50 and 8,201,443 is: 12,385,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430,722.50 : 8,201,443 = 8,201,443 : x
  2. Step 2: Convert to fraction form
    5,430,722.50/8,201,443 = 8,201,443/x
  3. Step 3: Cross multiply
    5,430,722.50x = 8,201,443 × 8,201,443
  4. Step 4: Simplify right side
    5,430,722.50x = 67,263,667,282,249
  5. Step 5: Solve for x
    x = 67,263,667,282,249/5,430,722.50
  6. Step 6: Final answer
    x = 12,385,767.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.