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Finding the Third Proportional to 6,315,170 and 13,832,212

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Solution

The third proportional to 6,315,170 and 13,832,212 is: 30,296,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315,170 : 13,832,212 = 13,832,212 : x
  2. Step 2: Convert to fraction form
    6,315,170/13,832,212 = 13,832,212/x
  3. Step 3: Cross multiply
    6,315,170x = 13,832,212 × 13,832,212
  4. Step 4: Simplify right side
    6,315,170x = 191,330,088,812,944
  5. Step 5: Solve for x
    x = 191,330,088,812,944/6,315,170
  6. Step 6: Final answer
    x = 30,296,902.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.