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Finding the Third Proportional to 6,309,075 and 9,452,961

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Solution

The third proportional to 6,309,075 and 9,452,961 is: 14,163,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,075 : 9,452,961 = 9,452,961 : x
  2. Step 2: Convert to fraction form
    6,309,075/9,452,961 = 9,452,961/x
  3. Step 3: Cross multiply
    6,309,075x = 9,452,961 × 9,452,961
  4. Step 4: Simplify right side
    6,309,075x = 89,358,471,667,521
  5. Step 5: Solve for x
    x = 89,358,471,667,521/6,309,075
  6. Step 6: Final answer
    x = 14,163,482.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.