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Finding the Third Proportional to 4,723,075 and 9,782,206

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Solution

The third proportional to 4,723,075 and 9,782,206 is: 20,260,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,075 : 9,782,206 = 9,782,206 : x
  2. Step 2: Convert to fraction form
    4,723,075/9,782,206 = 9,782,206/x
  3. Step 3: Cross multiply
    4,723,075x = 9,782,206 × 9,782,206
  4. Step 4: Simplify right side
    4,723,075x = 95,691,554,226,436
  5. Step 5: Solve for x
    x = 95,691,554,226,436/4,723,075
  6. Step 6: Final answer
    x = 20,260,435.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.