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Finding the Third Proportional to 17,218,534.50 and 37,463,661.84

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Solution

The third proportional to 17,218,534.50 and 37,463,661.84 is: 81,512,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,218,534.50 : 37,463,661.84 = 37,463,661.84 : x
  2. Step 2: Convert to fraction form
    17,218,534.50/37,463,661.84 = 37,463,661.84/x
  3. Step 3: Cross multiply
    17,218,534.50x = 37,463,661.84 × 37,463,661.84
  4. Step 4: Simplify right side
    17,218,534.50x = 1,403,525,958,742,849.75
  5. Step 5: Solve for x
    x = 1,403,525,958,742,849.75/17,218,534.50
  6. Step 6: Final answer
    x = 81,512,509.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.