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Finding the Third Proportional to 8,092,195.31 and 17,335,746.56

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Solution

The third proportional to 8,092,195.31 and 17,335,746.56 is: 37,138,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,195.31 : 17,335,746.56 = 17,335,746.56 : x
  2. Step 2: Convert to fraction form
    8,092,195.31/17,335,746.56 = 17,335,746.56/x
  3. Step 3: Cross multiply
    8,092,195.31x = 17,335,746.56 × 17,335,746.56
  4. Step 4: Simplify right side
    8,092,195.31x = 300,528,108,879,230.56
  5. Step 5: Solve for x
    x = 300,528,108,879,230.56/8,092,195.31
  6. Step 6: Final answer
    x = 37,138,019.69

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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.