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Finding the Third Proportional to 8,078,929 and 17,702,941

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Solution

The third proportional to 8,078,929 and 17,702,941 is: 38,791,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,929 : 17,702,941 = 17,702,941 : x
  2. Step 2: Convert to fraction form
    8,078,929/17,702,941 = 17,702,941/x
  3. Step 3: Cross multiply
    8,078,929x = 17,702,941 × 17,702,941
  4. Step 4: Simplify right side
    8,078,929x = 313,394,120,049,481
  5. Step 5: Solve for x
    x = 313,394,120,049,481/8,078,929
  6. Step 6: Final answer
    x = 38,791,542.80

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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.