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Finding the Third Proportional to 4,340,763 and 6,385,696.50

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Solution

The third proportional to 4,340,763 and 6,385,696.50 is: 9,393,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340,763 : 6,385,696.50 = 6,385,696.50 : x
  2. Step 2: Convert to fraction form
    4,340,763/6,385,696.50 = 6,385,696.50/x
  3. Step 3: Cross multiply
    4,340,763x = 6,385,696.50 × 6,385,696.50
  4. Step 4: Simplify right side
    4,340,763x = 40,777,119,790,112.25
  5. Step 5: Solve for x
    x = 40,777,119,790,112.25/4,340,763
  6. Step 6: Final answer
    x = 9,393,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.