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Finding the Third Proportional to 8,020,948 and 17,320,512

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Solution

The third proportional to 8,020,948 and 17,320,512 is: 37,402,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,948 : 17,320,512 = 17,320,512 : x
  2. Step 2: Convert to fraction form
    8,020,948/17,320,512 = 17,320,512/x
  3. Step 3: Cross multiply
    8,020,948x = 17,320,512 × 17,320,512
  4. Step 4: Simplify right side
    8,020,948x = 300,000,135,942,144
  5. Step 5: Solve for x
    x = 300,000,135,942,144/8,020,948
  6. Step 6: Final answer
    x = 37,402,079.65

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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.