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Finding the Third Proportional to 17,857,764 and 38,759,832

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Solution

The third proportional to 17,857,764 and 38,759,832 is: 84,127,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857,764 : 38,759,832 = 38,759,832 : x
  2. Step 2: Convert to fraction form
    17,857,764/38,759,832 = 38,759,832/x
  3. Step 3: Cross multiply
    17,857,764x = 38,759,832 × 38,759,832
  4. Step 4: Simplify right side
    17,857,764x = 1,502,324,576,668,224
  5. Step 5: Solve for x
    x = 1,502,324,576,668,224/17,857,764
  6. Step 6: Final answer
    x = 84,127,250.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.