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Finding the Third Proportional to 3,965,744.81 and 5,350,723.31

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Solution

The third proportional to 3,965,744.81 and 5,350,723.31 is: 7,219,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965,744.81 : 5,350,723.31 = 5,350,723.31 : x
  2. Step 2: Convert to fraction form
    3,965,744.81/5,350,723.31 = 5,350,723.31/x
  3. Step 3: Cross multiply
    3,965,744.81x = 5,350,723.31 × 5,350,723.31
  4. Step 4: Simplify right side
    3,965,744.81x = 28,630,239,966,930.97
  5. Step 5: Solve for x
    x = 28,630,239,966,930.97/3,965,744.81
  6. Step 6: Final answer
    x = 7,219,385.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.