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Finding the Third Proportional to 8,009,404 and 17,474,231

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Solution

The third proportional to 8,009,404 and 17,474,231 is: 38,123,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009,404 : 17,474,231 = 17,474,231 : x
  2. Step 2: Convert to fraction form
    8,009,404/17,474,231 = 17,474,231/x
  3. Step 3: Cross multiply
    8,009,404x = 17,474,231 × 17,474,231
  4. Step 4: Simplify right side
    8,009,404x = 305,348,749,041,361
  5. Step 5: Solve for x
    x = 305,348,749,041,361/8,009,404
  6. Step 6: Final answer
    x = 38,123,779.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.