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Finding the Third Proportional to 4,143,081 and 9,766,395

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Solution

The third proportional to 4,143,081 and 9,766,395 is: 23,022,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143,081 : 9,766,395 = 9,766,395 : x
  2. Step 2: Convert to fraction form
    4,143,081/9,766,395 = 9,766,395/x
  3. Step 3: Cross multiply
    4,143,081x = 9,766,395 × 9,766,395
  4. Step 4: Simplify right side
    4,143,081x = 95,382,471,296,025
  5. Step 5: Solve for x
    x = 95,382,471,296,025/4,143,081
  6. Step 6: Final answer
    x = 23,022,111.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.