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Finding the Third Proportional to 3,677,816.39 and 5,740,242.82

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Solution

The third proportional to 3,677,816.39 and 5,740,242.82 is: 8,959,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,816.39 : 5,740,242.82 = 5,740,242.82 : x
  2. Step 2: Convert to fraction form
    3,677,816.39/5,740,242.82 = 5,740,242.82/x
  3. Step 3: Cross multiply
    3,677,816.39x = 5,740,242.82 × 5,740,242.82
  4. Step 4: Simplify right side
    3,677,816.39x = 32,950,387,636,149.20
  5. Step 5: Solve for x
    x = 32,950,387,636,149.20/3,677,816.39
  6. Step 6: Final answer
    x = 8,959,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.