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Finding the Third Proportional to 4,332,019.50 and 6,734,954.25

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Solution

The third proportional to 4,332,019.50 and 6,734,954.25 is: 10,470,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332,019.50 : 6,734,954.25 = 6,734,954.25 : x
  2. Step 2: Convert to fraction form
    4,332,019.50/6,734,954.25 = 6,734,954.25/x
  3. Step 3: Cross multiply
    4,332,019.50x = 6,734,954.25 × 6,734,954.25
  4. Step 4: Simplify right side
    4,332,019.50x = 45,359,608,749,593.06
  5. Step 5: Solve for x
    x = 45,359,608,749,593.06/4,332,019.50
  6. Step 6: Final answer
    x = 10,470,776.68

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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.