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Finding the Third Proportional to 3,777,230.25 and 8,092,973.25

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Solution

The third proportional to 3,777,230.25 and 8,092,973.25 is: 17,339,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777,230.25 : 8,092,973.25 = 8,092,973.25 : x
  2. Step 2: Convert to fraction form
    3,777,230.25/8,092,973.25 = 8,092,973.25/x
  3. Step 3: Cross multiply
    3,777,230.25x = 8,092,973.25 × 8,092,973.25
  4. Step 4: Simplify right side
    3,777,230.25x = 65,496,216,025,215.56
  5. Step 5: Solve for x
    x = 65,496,216,025,215.56/3,777,230.25
  6. Step 6: Final answer
    x = 17,339,746.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.