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Finding the Third Proportional to 31,225,984.69 and 67,664,655.94

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Solution

The third proportional to 31,225,984.69 and 67,664,655.94 is: 146,624,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225,984.69 : 67,664,655.94 = 67,664,655.94 : x
  2. Step 2: Convert to fraction form
    31,225,984.69/67,664,655.94 = 67,664,655.94/x
  3. Step 3: Cross multiply
    31,225,984.69x = 67,664,655.94 × 67,664,655.94
  4. Step 4: Simplify right side
    31,225,984.69x = 4,578,505,663,140,254
  5. Step 5: Solve for x
    x = 4,578,505,663,140,254/31,225,984.69
  6. Step 6: Final answer
    x = 146,624,860.96

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