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Finding the Third Proportional to 9,296,976 and 20,087,816

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Solution

The third proportional to 9,296,976 and 20,087,816 is: 43,403,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,976 : 20,087,816 = 20,087,816 : x
  2. Step 2: Convert to fraction form
    9,296,976/20,087,816 = 20,087,816/x
  3. Step 3: Cross multiply
    9,296,976x = 20,087,816 × 20,087,816
  4. Step 4: Simplify right side
    9,296,976x = 403,520,351,649,856
  5. Step 5: Solve for x
    x = 403,520,351,649,856/9,296,976
  6. Step 6: Final answer
    x = 43,403,398.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.