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Finding the Third Proportional to 8,092,022.34 and 17,338,267.69

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Solution

The third proportional to 8,092,022.34 and 17,338,267.69 is: 37,149,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,022.34 : 17,338,267.69 = 17,338,267.69 : x
  2. Step 2: Convert to fraction form
    8,092,022.34/17,338,267.69 = 17,338,267.69/x
  3. Step 3: Cross multiply
    8,092,022.34x = 17,338,267.69 × 17,338,267.69
  4. Step 4: Simplify right side
    8,092,022.34x = 300,615,526,403,406.62
  5. Step 5: Solve for x
    x = 300,615,526,403,406.62/8,092,022.34
  6. Step 6: Final answer
    x = 37,149,616.45

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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.