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Finding the Third Proportional to 57,530,784 and 123,599,400

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Solution

The third proportional to 57,530,784 and 123,599,400 is: 265,541,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530,784 : 123,599,400 = 123,599,400 : x
  2. Step 2: Convert to fraction form
    57,530,784/123,599,400 = 123,599,400/x
  3. Step 3: Cross multiply
    57,530,784x = 123,599,400 × 123,599,400
  4. Step 4: Simplify right side
    57,530,784x = 15,276,811,680,360,000
  5. Step 5: Solve for x
    x = 15,276,811,680,360,000/57,530,784
  6. Step 6: Final answer
    x = 265,541,517.40

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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.