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Finding the Third Proportional to 30,843,768.52 and 47,912,912.02

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Solution

The third proportional to 30,843,768.52 and 47,912,912.02 is: 74,428,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843,768.52 : 47,912,912.02 = 47,912,912.02 : x
  2. Step 2: Convert to fraction form
    30,843,768.52/47,912,912.02 = 47,912,912.02/x
  3. Step 3: Cross multiply
    30,843,768.52x = 47,912,912.02 × 47,912,912.02
  4. Step 4: Simplify right side
    30,843,768.52x = 2,295,647,137,817,022.50
  5. Step 5: Solve for x
    x = 2,295,647,137,817,022.50/30,843,768.52
  6. Step 6: Final answer
    x = 74,428,231.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.