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Finding the Third Proportional to 5,714,105 and 12,203,160

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Solution

The third proportional to 5,714,105 and 12,203,160 is: 26,061,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,105 : 12,203,160 = 12,203,160 : x
  2. Step 2: Convert to fraction form
    5,714,105/12,203,160 = 12,203,160/x
  3. Step 3: Cross multiply
    5,714,105x = 12,203,160 × 12,203,160
  4. Step 4: Simplify right side
    5,714,105x = 148,917,113,985,600
  5. Step 5: Solve for x
    x = 148,917,113,985,600/5,714,105
  6. Step 6: Final answer
    x = 26,061,319.14

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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.