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Finding the Third Proportional to 23,743,870.50 and 35,476,033.88

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Solution

The third proportional to 23,743,870.50 and 35,476,033.88 is: 53,005,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743,870.50 : 35,476,033.88 = 35,476,033.88 : x
  2. Step 2: Convert to fraction form
    23,743,870.50/35,476,033.88 = 35,476,033.88/x
  3. Step 3: Cross multiply
    23,743,870.50x = 35,476,033.88 × 35,476,033.88
  4. Step 4: Simplify right side
    23,743,870.50x = 1,258,548,979,500,147.50
  5. Step 5: Solve for x
    x = 1,258,548,979,500,147.50/23,743,870.50
  6. Step 6: Final answer
    x = 53,005,215.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.