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Finding the Third Proportional to 4,332,035 and 6,734,973

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Solution

The third proportional to 4,332,035 and 6,734,973 is: 10,470,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332,035 : 6,734,973 = 6,734,973 : x
  2. Step 2: Convert to fraction form
    4,332,035/6,734,973 = 6,734,973/x
  3. Step 3: Cross multiply
    4,332,035x = 6,734,973 × 6,734,973
  4. Step 4: Simplify right side
    4,332,035x = 45,359,861,310,729
  5. Step 5: Solve for x
    x = 45,359,861,310,729/4,332,035
  6. Step 6: Final answer
    x = 10,470,797.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.