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Finding the Third Proportional to 13,305,647.25 and 19,453,319.44

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Solution

The third proportional to 13,305,647.25 and 19,453,319.44 is: 28,441,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305,647.25 : 19,453,319.44 = 19,453,319.44 : x
  2. Step 2: Convert to fraction form
    13,305,647.25/19,453,319.44 = 19,453,319.44/x
  3. Step 3: Cross multiply
    13,305,647.25x = 19,453,319.44 × 19,453,319.44
  4. Step 4: Simplify right side
    13,305,647.25x = 378,431,637,137,415.31
  5. Step 5: Solve for x
    x = 378,431,637,137,415.31/13,305,647.25
  6. Step 6: Final answer
    x = 28,441,430.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.