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Finding the Third Proportional to 4,757,943 and 6,782,620.50

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Solution

The third proportional to 4,757,943 and 6,782,620.50 is: 9,668,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,943 : 6,782,620.50 = 6,782,620.50 : x
  2. Step 2: Convert to fraction form
    4,757,943/6,782,620.50 = 6,782,620.50/x
  3. Step 3: Cross multiply
    4,757,943x = 6,782,620.50 × 6,782,620.50
  4. Step 4: Simplify right side
    4,757,943x = 46,003,940,847,020.25
  5. Step 5: Solve for x
    x = 46,003,940,847,020.25/4,757,943
  6. Step 6: Final answer
    x = 9,668,871.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.