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Finding the Third Proportional to 5,714,132 and 12,203,220

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Solution

The third proportional to 5,714,132 and 12,203,220 is: 26,061,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,132 : 12,203,220 = 12,203,220 : x
  2. Step 2: Convert to fraction form
    5,714,132/12,203,220 = 12,203,220/x
  3. Step 3: Cross multiply
    5,714,132x = 12,203,220 × 12,203,220
  4. Step 4: Simplify right side
    5,714,132x = 148,918,578,368,400
  5. Step 5: Solve for x
    x = 148,918,578,368,400/5,714,132
  6. Step 6: Final answer
    x = 26,061,452.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.