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Finding the Third Proportional to 31,582,033.50 and 46,278,072

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Solution

The third proportional to 31,582,033.50 and 46,278,072 is: 67,812,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582,033.50 : 46,278,072 = 46,278,072 : x
  2. Step 2: Convert to fraction form
    31,582,033.50/46,278,072 = 46,278,072/x
  3. Step 3: Cross multiply
    31,582,033.50x = 46,278,072 × 46,278,072
  4. Step 4: Simplify right side
    31,582,033.50x = 2,141,659,948,037,184
  5. Step 5: Solve for x
    x = 2,141,659,948,037,184/31,582,033.50
  6. Step 6: Final answer
    x = 67,812,604.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.