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Finding the Third Proportional to 31,983,891.75 and 46,776,312.75

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Solution

The third proportional to 31,983,891.75 and 46,776,312.75 is: 68,410,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,983,891.75 : 46,776,312.75 = 46,776,312.75 : x
  2. Step 2: Convert to fraction form
    31,983,891.75/46,776,312.75 = 46,776,312.75/x
  3. Step 3: Cross multiply
    31,983,891.75x = 46,776,312.75 × 46,776,312.75
  4. Step 4: Simplify right side
    31,983,891.75x = 2,188,023,434,485,812.50
  5. Step 5: Solve for x
    x = 2,188,023,434,485,812.50/31,983,891.75
  6. Step 6: Final answer
    x = 68,410,168.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.