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Finding the Third Proportional to 7,679,523.75 and 16,498,710

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Solution

The third proportional to 7,679,523.75 and 16,498,710 is: 35,445,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,523.75 : 16,498,710 = 16,498,710 : x
  2. Step 2: Convert to fraction form
    7,679,523.75/16,498,710 = 16,498,710/x
  3. Step 3: Cross multiply
    7,679,523.75x = 16,498,710 × 16,498,710
  4. Step 4: Simplify right side
    7,679,523.75x = 272,207,431,664,100
  5. Step 5: Solve for x
    x = 272,207,431,664,100/7,679,523.75
  6. Step 6: Final answer
    x = 35,445,874.06

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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.