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Finding the Third Proportional to 17,524,520 and 38,347,361

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Solution

The third proportional to 17,524,520 and 38,347,361 is: 83,912,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524,520 : 38,347,361 = 38,347,361 : x
  2. Step 2: Convert to fraction form
    17,524,520/38,347,361 = 38,347,361/x
  3. Step 3: Cross multiply
    17,524,520x = 38,347,361 × 38,347,361
  4. Step 4: Simplify right side
    17,524,520x = 1,470,520,095,664,321
  5. Step 5: Solve for x
    x = 1,470,520,095,664,321/17,524,520
  6. Step 6: Final answer
    x = 83,912,146.85

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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.