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Finding the Third Proportional to 4,626,965.50 and 6,913,232

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Solution

The third proportional to 4,626,965.50 and 6,913,232 is: 10,329,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626,965.50 : 6,913,232 = 6,913,232 : x
  2. Step 2: Convert to fraction form
    4,626,965.50/6,913,232 = 6,913,232/x
  3. Step 3: Cross multiply
    4,626,965.50x = 6,913,232 × 6,913,232
  4. Step 4: Simplify right side
    4,626,965.50x = 47,792,776,685,824
  5. Step 5: Solve for x
    x = 47,792,776,685,824/4,626,965.50
  6. Step 6: Final answer
    x = 10,329,183.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.