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Finding the Third Proportional to 31,582,023.75 and 46,278,057.38

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Solution

The third proportional to 31,582,023.75 and 46,278,057.38 is: 67,812,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582,023.75 : 46,278,057.38 = 46,278,057.38 : x
  2. Step 2: Convert to fraction form
    31,582,023.75/46,278,057.38 = 46,278,057.38/x
  3. Step 3: Cross multiply
    31,582,023.75x = 46,278,057.38 × 46,278,057.38
  4. Step 4: Simplify right side
    31,582,023.75x = 2,141,658,594,403,792
  5. Step 5: Solve for x
    x = 2,141,658,594,403,792/31,582,023.75
  6. Step 6: Final answer
    x = 67,812,582.61

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