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Finding the Third Proportional to 31,792,182.64 and 68,455,825.21

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Solution

The third proportional to 31,792,182.64 and 68,455,825.21 is: 147,401,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792,182.64 : 68,455,825.21 = 68,455,825.21 : x
  2. Step 2: Convert to fraction form
    31,792,182.64/68,455,825.21 = 68,455,825.21/x
  3. Step 3: Cross multiply
    31,792,182.64x = 68,455,825.21 × 68,455,825.21
  4. Step 4: Simplify right side
    31,792,182.64x = 4,686,200,004,775,444
  5. Step 5: Solve for x
    x = 4,686,200,004,775,444/31,792,182.64
  6. Step 6: Final answer
    x = 147,401,015.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.