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Finding the Third Proportional to 37,472,532.75 and 83,561,208.75

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Solution

The third proportional to 37,472,532.75 and 83,561,208.75 is: 186,335,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472,532.75 : 83,561,208.75 = 83,561,208.75 : x
  2. Step 2: Convert to fraction form
    37,472,532.75/83,561,208.75 = 83,561,208.75/x
  3. Step 3: Cross multiply
    37,472,532.75x = 83,561,208.75 × 83,561,208.75
  4. Step 4: Simplify right side
    37,472,532.75x = 6,982,475,607,761,077
  5. Step 5: Solve for x
    x = 6,982,475,607,761,077/37,472,532.75
  6. Step 6: Final answer
    x = 186,335,833.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.