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Finding the Third Proportional to 21,221,946 and 45,469,233

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Solution

The third proportional to 21,221,946 and 45,469,233 is: 97,420,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221,946 : 45,469,233 = 45,469,233 : x
  2. Step 2: Convert to fraction form
    21,221,946/45,469,233 = 45,469,233/x
  3. Step 3: Cross multiply
    21,221,946x = 45,469,233 × 45,469,233
  4. Step 4: Simplify right side
    21,221,946x = 2,067,451,149,608,289
  5. Step 5: Solve for x
    x = 2,067,451,149,608,289/21,221,946
  6. Step 6: Final answer
    x = 97,420,432.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.