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Finding the Third Proportional to 11,948,114 and 18,143,787

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Solution

The third proportional to 11,948,114 and 18,143,787 is: 27,552,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948,114 : 18,143,787 = 18,143,787 : x
  2. Step 2: Convert to fraction form
    11,948,114/18,143,787 = 18,143,787/x
  3. Step 3: Cross multiply
    11,948,114x = 18,143,787 × 18,143,787
  4. Step 4: Simplify right side
    11,948,114x = 329,197,006,701,369
  5. Step 5: Solve for x
    x = 329,197,006,701,369/11,948,114
  6. Step 6: Final answer
    x = 27,552,215.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.