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Finding the Third Proportional to 4,277,477.25 and 9,511,310.25

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Solution

The third proportional to 4,277,477.25 and 9,511,310.25 is: 21,149,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,477.25 : 9,511,310.25 = 9,511,310.25 : x
  2. Step 2: Convert to fraction form
    4,277,477.25/9,511,310.25 = 9,511,310.25/x
  3. Step 3: Cross multiply
    4,277,477.25x = 9,511,310.25 × 9,511,310.25
  4. Step 4: Simplify right side
    4,277,477.25x = 90,465,022,671,755.06
  5. Step 5: Solve for x
    x = 90,465,022,671,755.06/4,277,477.25
  6. Step 6: Final answer
    x = 21,149,153.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.