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Finding the Third Proportional to 2,277,774,732 and 3,549,832,193

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Solution

The third proportional to 2,277,774,732 and 3,549,832,193 is: 5,532,289,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,774,732 : 3,549,832,193 = 3,549,832,193 : x
  2. Step 2: Convert to fraction form
    2,277,774,732/3,549,832,193 = 3,549,832,193/x
  3. Step 3: Cross multiply
    2,277,774,732x = 3,549,832,193 × 3,549,832,193
  4. Step 4: Simplify right side
    2,277,774,732x = 12,601,308,598,459,189,248
  5. Step 5: Solve for x
    x = 12,601,308,598,459,189,248/2,277,774,732
  6. Step 6: Final answer
    x = 5,532,289,221.33

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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.