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Finding the Third Proportional to 6,754,418.72 and 14,534,657.72

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Solution

The third proportional to 6,754,418.72 and 14,534,657.72 is: 31,276,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754,418.72 : 14,534,657.72 = 14,534,657.72 : x
  2. Step 2: Convert to fraction form
    6,754,418.72/14,534,657.72 = 14,534,657.72/x
  3. Step 3: Cross multiply
    6,754,418.72x = 14,534,657.72 × 14,534,657.72
  4. Step 4: Simplify right side
    6,754,418.72x = 211,256,275,001,218.97
  5. Step 5: Solve for x
    x = 211,256,275,001,218.97/6,754,418.72
  6. Step 6: Final answer
    x = 31,276,751.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.