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Finding the Third Proportional to 2,277,774,728 and 3,549,832,187

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Solution

The third proportional to 2,277,774,728 and 3,549,832,187 is: 5,532,289,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,774,728 : 3,549,832,187 = 3,549,832,187 : x
  2. Step 2: Convert to fraction form
    2,277,774,728/3,549,832,187 = 3,549,832,187/x
  3. Step 3: Cross multiply
    2,277,774,728x = 3,549,832,187 × 3,549,832,187
  4. Step 4: Simplify right side
    2,277,774,728x = 12,601,308,555,861,202,944
  5. Step 5: Solve for x
    x = 12,601,308,555,861,202,944/2,277,774,728
  6. Step 6: Final answer
    x = 5,532,289,212.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.