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Finding the Third Proportional to 11,956,286 and 19,034,033

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Solution

The third proportional to 11,956,286 and 19,034,033 is: 30,301,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956,286 : 19,034,033 = 19,034,033 : x
  2. Step 2: Convert to fraction form
    11,956,286/19,034,033 = 19,034,033/x
  3. Step 3: Cross multiply
    11,956,286x = 19,034,033 × 19,034,033
  4. Step 4: Simplify right side
    11,956,286x = 362,294,412,245,089
  5. Step 5: Solve for x
    x = 362,294,412,245,089/11,956,286
  6. Step 6: Final answer
    x = 30,301,584.64

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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.