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Finding the Third Proportional to 11,800,910 and 17,809,911

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Solution

The third proportional to 11,800,910 and 17,809,911 is: 26,878,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800,910 : 17,809,911 = 17,809,911 : x
  2. Step 2: Convert to fraction form
    11,800,910/17,809,911 = 17,809,911/x
  3. Step 3: Cross multiply
    11,800,910x = 17,809,911 × 17,809,911
  4. Step 4: Simplify right side
    11,800,910x = 317,192,929,827,921
  5. Step 5: Solve for x
    x = 317,192,929,827,921/11,800,910
  6. Step 6: Final answer
    x = 26,878,683.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.