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Finding the Third Proportional to 5,820,824.25 and 12,244,977

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Solution

The third proportional to 5,820,824.25 and 12,244,977 is: 25,759,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820,824.25 : 12,244,977 = 12,244,977 : x
  2. Step 2: Convert to fraction form
    5,820,824.25/12,244,977 = 12,244,977/x
  3. Step 3: Cross multiply
    5,820,824.25x = 12,244,977 × 12,244,977
  4. Step 4: Simplify right side
    5,820,824.25x = 149,939,461,730,529
  5. Step 5: Solve for x
    x = 149,939,461,730,529/5,820,824.25
  6. Step 6: Final answer
    x = 25,759,146.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.