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Finding the Third Proportional to 555,004,921 and 1,234,100,176

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Solution

The third proportional to 555,004,921 and 1,234,100,176 is: 2,744,125,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,004,921 : 1,234,100,176 = 1,234,100,176 : x
  2. Step 2: Convert to fraction form
    555,004,921/1,234,100,176 = 1,234,100,176/x
  3. Step 3: Cross multiply
    555,004,921x = 1,234,100,176 × 1,234,100,176
  4. Step 4: Simplify right side
    555,004,921x = 1,523,003,244,403,230,976
  5. Step 5: Solve for x
    x = 1,523,003,244,403,230,976/555,004,921
  6. Step 6: Final answer
    x = 2,744,125,658.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.