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Finding the Third Proportional to 37,844,534.50 and 82,853,676.50

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Solution

The third proportional to 37,844,534.50 and 82,853,676.50 is: 181,392,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844,534.50 : 82,853,676.50 = 82,853,676.50 : x
  2. Step 2: Convert to fraction form
    37,844,534.50/82,853,676.50 = 82,853,676.50/x
  3. Step 3: Cross multiply
    37,844,534.50x = 82,853,676.50 × 82,853,676.50
  4. Step 4: Simplify right side
    37,844,534.50x = 6,864,731,709,566,652
  5. Step 5: Solve for x
    x = 6,864,731,709,566,652/37,844,534.50
  6. Step 6: Final answer
    x = 181,392,948.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.