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Finding the Third Proportional to 31,409,005.50 and 47,146,738.50

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Solution

The third proportional to 31,409,005.50 and 47,146,738.50 is: 70,769,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409,005.50 : 47,146,738.50 = 47,146,738.50 : x
  2. Step 2: Convert to fraction form
    31,409,005.50/47,146,738.50 = 47,146,738.50/x
  3. Step 3: Cross multiply
    31,409,005.50x = 47,146,738.50 × 47,146,738.50
  4. Step 4: Simplify right side
    31,409,005.50x = 2,222,814,951,187,382.25
  5. Step 5: Solve for x
    x = 2,222,814,951,187,382.25/31,409,005.50
  6. Step 6: Final answer
    x = 70,769,988.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.