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Finding the Third Proportional to 53,722,656 and 115,110,744

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Solution

The third proportional to 53,722,656 and 115,110,744 is: 246,646,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,722,656 : 115,110,744 = 115,110,744 : x
  2. Step 2: Convert to fraction form
    53,722,656/115,110,744 = 115,110,744/x
  3. Step 3: Cross multiply
    53,722,656x = 115,110,744 × 115,110,744
  4. Step 4: Simplify right side
    53,722,656x = 13,250,483,384,233,536
  5. Step 5: Solve for x
    x = 13,250,483,384,233,536/53,722,656
  6. Step 6: Final answer
    x = 246,646,096.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.