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Finding the Third Proportional to 27,240,853 and 41,365,751

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Solution

The third proportional to 27,240,853 and 41,365,751 is: 62,814,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240,853 : 41,365,751 = 41,365,751 : x
  2. Step 2: Convert to fraction form
    27,240,853/41,365,751 = 41,365,751/x
  3. Step 3: Cross multiply
    27,240,853x = 41,365,751 × 41,365,751
  4. Step 4: Simplify right side
    27,240,853x = 1,711,125,355,794,001
  5. Step 5: Solve for x
    x = 1,711,125,355,794,001/27,240,853
  6. Step 6: Final answer
    x = 62,814,676.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.