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Finding the Third Proportional to 3,552,914.25 and 7,814,253.75

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Solution

The third proportional to 3,552,914.25 and 7,814,253.75 is: 17,186,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552,914.25 : 7,814,253.75 = 7,814,253.75 : x
  2. Step 2: Convert to fraction form
    3,552,914.25/7,814,253.75 = 7,814,253.75/x
  3. Step 3: Cross multiply
    3,552,914.25x = 7,814,253.75 × 7,814,253.75
  4. Step 4: Simplify right side
    3,552,914.25x = 61,062,561,669,389.06
  5. Step 5: Solve for x
    x = 61,062,561,669,389.06/3,552,914.25
  6. Step 6: Final answer
    x = 17,186,612.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.