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Finding the Third Proportional to 57,815,757 and 125,157,964.50

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Solution

The third proportional to 57,815,757 and 125,157,964.50 is: 270,938,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,815,757 : 125,157,964.50 = 125,157,964.50 : x
  2. Step 2: Convert to fraction form
    57,815,757/125,157,964.50 = 125,157,964.50/x
  3. Step 3: Cross multiply
    57,815,757x = 125,157,964.50 × 125,157,964.50
  4. Step 4: Simplify right side
    57,815,757x = 15,664,516,077,783,260
  5. Step 5: Solve for x
    x = 15,664,516,077,783,260/57,815,757
  6. Step 6: Final answer
    x = 270,938,527.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.