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Finding the Third Proportional to 4,359,544.50 and 7,178,444.63

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Solution

The third proportional to 4,359,544.50 and 7,178,444.63 is: 11,820,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359,544.50 : 7,178,444.63 = 7,178,444.63 : x
  2. Step 2: Convert to fraction form
    4,359,544.50/7,178,444.63 = 7,178,444.63/x
  3. Step 3: Cross multiply
    4,359,544.50x = 7,178,444.63 × 7,178,444.63
  4. Step 4: Simplify right side
    4,359,544.50x = 51,530,067,234,191.39
  5. Step 5: Solve for x
    x = 51,530,067,234,191.39/4,359,544.50
  6. Step 6: Final answer
    x = 11,820,057.63

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.