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Finding the Third Proportional to 37,472,685.75 and 83,561,427

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Solution

The third proportional to 37,472,685.75 and 83,561,427 is: 186,336,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472,685.75 : 83,561,427 = 83,561,427 : x
  2. Step 2: Convert to fraction form
    37,472,685.75/83,561,427 = 83,561,427/x
  3. Step 3: Cross multiply
    37,472,685.75x = 83,561,427 × 83,561,427
  4. Step 4: Simplify right side
    37,472,685.75x = 6,982,512,082,276,329
  5. Step 5: Solve for x
    x = 6,982,512,082,276,329/37,472,685.75
  6. Step 6: Final answer
    x = 186,336,045.64

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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.