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Finding the Third Proportional to 31,777,528.50 and 67,368,422.25

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Solution

The third proportional to 31,777,528.50 and 67,368,422.25 is: 142,821,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777,528.50 : 67,368,422.25 = 67,368,422.25 : x
  2. Step 2: Convert to fraction form
    31,777,528.50/67,368,422.25 = 67,368,422.25/x
  3. Step 3: Cross multiply
    31,777,528.50x = 67,368,422.25 × 67,368,422.25
  4. Step 4: Simplify right side
    31,777,528.50x = 4,538,504,316,454,295
  5. Step 5: Solve for x
    x = 4,538,504,316,454,295/31,777,528.50
  6. Step 6: Final answer
    x = 142,821,186.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.