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Finding the Third Proportional to 11,956,493 and 19,034,315

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Solution

The third proportional to 11,956,493 and 19,034,315 is: 30,301,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956,493 : 19,034,315 = 19,034,315 : x
  2. Step 2: Convert to fraction form
    11,956,493/19,034,315 = 19,034,315/x
  3. Step 3: Cross multiply
    11,956,493x = 19,034,315 × 19,034,315
  4. Step 4: Simplify right side
    11,956,493x = 362,305,147,519,225
  5. Step 5: Solve for x
    x = 362,305,147,519,225/11,956,493
  6. Step 6: Final answer
    x = 30,301,957.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.