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Finding the Third Proportional to 31,226,004.04 and 67,664,694.09

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Solution

The third proportional to 31,226,004.04 and 67,664,694.09 is: 146,624,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,226,004.04 : 67,664,694.09 = 67,664,694.09 : x
  2. Step 2: Convert to fraction form
    31,226,004.04/67,664,694.09 = 67,664,694.09/x
  3. Step 3: Cross multiply
    31,226,004.04x = 67,664,694.09 × 67,664,694.09
  4. Step 4: Simplify right side
    31,226,004.04x = 4,578,510,826,800,766
  5. Step 5: Solve for x
    x = 4,578,510,826,800,766/31,226,004.04
  6. Step 6: Final answer
    x = 146,624,935.48

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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.