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Finding the Third Proportional to 11,677,854 and 18,595,917

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Solution

The third proportional to 11,677,854 and 18,595,917 is: 29,612,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677,854 : 18,595,917 = 18,595,917 : x
  2. Step 2: Convert to fraction form
    11,677,854/18,595,917 = 18,595,917/x
  3. Step 3: Cross multiply
    11,677,854x = 18,595,917 × 18,595,917
  4. Step 4: Simplify right side
    11,677,854x = 345,808,129,070,889
  5. Step 5: Solve for x
    x = 345,808,129,070,889/11,677,854
  6. Step 6: Final answer
    x = 29,612,301.12

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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.