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Finding the Third Proportional to 12,923,656 and 20,275,184

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Solution

The third proportional to 12,923,656 and 20,275,184 is: 31,808,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923,656 : 20,275,184 = 20,275,184 : x
  2. Step 2: Convert to fraction form
    12,923,656/20,275,184 = 20,275,184/x
  3. Step 3: Cross multiply
    12,923,656x = 20,275,184 × 20,275,184
  4. Step 4: Simplify right side
    12,923,656x = 411,083,086,233,856
  5. Step 5: Solve for x
    x = 411,083,086,233,856/12,923,656
  6. Step 6: Final answer
    x = 31,808,575.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.