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Finding the Third Proportional to 3,701,007.50 and 8,252,984

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Solution

The third proportional to 3,701,007.50 and 8,252,984 is: 18,403,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701,007.50 : 8,252,984 = 8,252,984 : x
  2. Step 2: Convert to fraction form
    3,701,007.50/8,252,984 = 8,252,984/x
  3. Step 3: Cross multiply
    3,701,007.50x = 8,252,984 × 8,252,984
  4. Step 4: Simplify right side
    3,701,007.50x = 68,111,744,904,256
  5. Step 5: Solve for x
    x = 68,111,744,904,256/3,701,007.50
  6. Step 6: Final answer
    x = 18,403,568.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.