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Finding the Third Proportional to 37,531,897.50 and 81,519,229.50

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Solution

The third proportional to 37,531,897.50 and 81,519,229.50 is: 177,059,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,531,897.50 : 81,519,229.50 = 81,519,229.50 : x
  2. Step 2: Convert to fraction form
    37,531,897.50/81,519,229.50 = 81,519,229.50/x
  3. Step 3: Cross multiply
    37,531,897.50x = 81,519,229.50 × 81,519,229.50
  4. Step 4: Simplify right side
    37,531,897.50x = 6,645,384,778,273,670
  5. Step 5: Solve for x
    x = 6,645,384,778,273,670/37,531,897.50
  6. Step 6: Final answer
    x = 177,059,653.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.