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Finding the Third Proportional to 2,300,741,722 and 5,031,952,004

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Solution

The third proportional to 2,300,741,722 and 5,031,952,004 is: 11,005,381,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,741,722 : 5,031,952,004 = 5,031,952,004 : x
  2. Step 2: Convert to fraction form
    2,300,741,722/5,031,952,004 = 5,031,952,004/x
  3. Step 3: Cross multiply
    2,300,741,722x = 5,031,952,004 × 5,031,952,004
  4. Step 4: Simplify right side
    2,300,741,722x = 25,320,540,970,559,614,976
  5. Step 5: Solve for x
    x = 25,320,540,970,559,614,976/2,300,741,722
  6. Step 6: Final answer
    x = 11,005,381,755.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.