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Finding the Third Proportional to 12,976,321.50 and 27,629,798.63

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Solution

The third proportional to 12,976,321.50 and 27,629,798.63 is: 58,830,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976,321.50 : 27,629,798.63 = 27,629,798.63 : x
  2. Step 2: Convert to fraction form
    12,976,321.50/27,629,798.63 = 27,629,798.63/x
  3. Step 3: Cross multiply
    12,976,321.50x = 27,629,798.63 × 27,629,798.63
  4. Step 4: Simplify right side
    12,976,321.50x = 763,405,772,058,051.88
  5. Step 5: Solve for x
    x = 763,405,772,058,051.88/12,976,321.50
  6. Step 6: Final answer
    x = 58,830,676.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.