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Finding the Third Proportional to 5,820,929 and 12,245,125

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Solution

The third proportional to 5,820,929 and 12,245,125 is: 25,759,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820,929 : 12,245,125 = 12,245,125 : x
  2. Step 2: Convert to fraction form
    5,820,929/12,245,125 = 12,245,125/x
  3. Step 3: Cross multiply
    5,820,929x = 12,245,125 × 12,245,125
  4. Step 4: Simplify right side
    5,820,929x = 149,943,086,265,625
  5. Step 5: Solve for x
    x = 149,943,086,265,625/5,820,929
  6. Step 6: Final answer
    x = 25,759,305.13

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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.