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Finding the Third Proportional to 17,609,820 and 38,150,712

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Solution

The third proportional to 17,609,820 and 38,150,712 is: 82,651,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609,820 : 38,150,712 = 38,150,712 : x
  2. Step 2: Convert to fraction form
    17,609,820/38,150,712 = 38,150,712/x
  3. Step 3: Cross multiply
    17,609,820x = 38,150,712 × 38,150,712
  4. Step 4: Simplify right side
    17,609,820x = 1,455,476,826,106,944
  5. Step 5: Solve for x
    x = 1,455,476,826,106,944/17,609,820
  6. Step 6: Final answer
    x = 82,651,431.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.