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Finding the Third Proportional to 37,301,491.50 and 80,271,691.50

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Solution

The third proportional to 37,301,491.50 and 80,271,691.50 is: 172,742,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,301,491.50 : 80,271,691.50 = 80,271,691.50 : x
  2. Step 2: Convert to fraction form
    37,301,491.50/80,271,691.50 = 80,271,691.50/x
  3. Step 3: Cross multiply
    37,301,491.50x = 80,271,691.50 × 80,271,691.50
  4. Step 4: Simplify right side
    37,301,491.50x = 6,443,544,456,271,172
  5. Step 5: Solve for x
    x = 6,443,544,456,271,172/37,301,491.50
  6. Step 6: Final answer
    x = 172,742,273.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.