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Finding the Third Proportional to 9,997,674 and 15,136,722

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Solution

The third proportional to 9,997,674 and 15,136,722 is: 22,917,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997,674 : 15,136,722 = 15,136,722 : x
  2. Step 2: Convert to fraction form
    9,997,674/15,136,722 = 15,136,722/x
  3. Step 3: Cross multiply
    9,997,674x = 15,136,722 × 15,136,722
  4. Step 4: Simplify right side
    9,997,674x = 229,120,352,905,284
  5. Step 5: Solve for x
    x = 229,120,352,905,284/9,997,674
  6. Step 6: Final answer
    x = 22,917,365.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.