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Finding the Third Proportional to 31,916,029.50 and 50,546,011.50

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Solution

The third proportional to 31,916,029.50 and 50,546,011.50 is: 80,050,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916,029.50 : 50,546,011.50 = 50,546,011.50 : x
  2. Step 2: Convert to fraction form
    31,916,029.50/50,546,011.50 = 50,546,011.50/x
  3. Step 3: Cross multiply
    31,916,029.50x = 50,546,011.50 × 50,546,011.50
  4. Step 4: Simplify right side
    31,916,029.50x = 2,554,899,278,558,132
  5. Step 5: Solve for x
    x = 2,554,899,278,558,132/31,916,029.50
  6. Step 6: Final answer
    x = 80,050,661.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.