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Finding the Third Proportional to 34,853,326 and 75,751,502

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Solution

The third proportional to 34,853,326 and 75,751,502 is: 164,641,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853,326 : 75,751,502 = 75,751,502 : x
  2. Step 2: Convert to fraction form
    34,853,326/75,751,502 = 75,751,502/x
  3. Step 3: Cross multiply
    34,853,326x = 75,751,502 × 75,751,502
  4. Step 4: Simplify right side
    34,853,326x = 5,738,290,055,256,004
  5. Step 5: Solve for x
    x = 5,738,290,055,256,004/34,853,326
  6. Step 6: Final answer
    x = 164,641,103.56

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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.