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Finding the Third Proportional to 2,300,741,724 and 5,031,952,008

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Solution

The third proportional to 2,300,741,724 and 5,031,952,008 is: 11,005,381,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,741,724 : 5,031,952,008 = 5,031,952,008 : x
  2. Step 2: Convert to fraction form
    2,300,741,724/5,031,952,008 = 5,031,952,008/x
  3. Step 3: Cross multiply
    2,300,741,724x = 5,031,952,008 × 5,031,952,008
  4. Step 4: Simplify right side
    2,300,741,724x = 25,320,541,010,815,234,048
  5. Step 5: Solve for x
    x = 25,320,541,010,815,234,048/2,300,741,724
  6. Step 6: Final answer
    x = 11,005,381,763.06

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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.