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Finding the Third Proportional to 35,762,674.50 and 76,983,709.50

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Solution

The third proportional to 35,762,674.50 and 76,983,709.50 is: 165,717,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762,674.50 : 76,983,709.50 = 76,983,709.50 : x
  2. Step 2: Convert to fraction form
    35,762,674.50/76,983,709.50 = 76,983,709.50/x
  3. Step 3: Cross multiply
    35,762,674.50x = 76,983,709.50 × 76,983,709.50
  4. Step 4: Simplify right side
    35,762,674.50x = 5,926,491,528,380,390
  5. Step 5: Solve for x
    x = 5,926,491,528,380,390/35,762,674.50
  6. Step 6: Final answer
    x = 165,717,234.83

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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.