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Finding the Third Proportional to 10,987,670 and 16,163,910

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Solution

The third proportional to 10,987,670 and 16,163,910 is: 23,778,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987,670 : 16,163,910 = 16,163,910 : x
  2. Step 2: Convert to fraction form
    10,987,670/16,163,910 = 16,163,910/x
  3. Step 3: Cross multiply
    10,987,670x = 16,163,910 × 16,163,910
  4. Step 4: Simplify right side
    10,987,670x = 261,271,986,488,100
  5. Step 5: Solve for x
    x = 261,271,986,488,100/10,987,670
  6. Step 6: Final answer
    x = 23,778,652.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.