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Finding the Third Proportional to 7,798,863.75 and 16,830,837

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Solution

The third proportional to 7,798,863.75 and 16,830,837 is: 36,322,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,863.75 : 16,830,837 = 16,830,837 : x
  2. Step 2: Convert to fraction form
    7,798,863.75/16,830,837 = 16,830,837/x
  3. Step 3: Cross multiply
    7,798,863.75x = 16,830,837 × 16,830,837
  4. Step 4: Simplify right side
    7,798,863.75x = 283,277,074,120,569
  5. Step 5: Solve for x
    x = 283,277,074,120,569/7,798,863.75
  6. Step 6: Final answer
    x = 36,322,864.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.