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Finding the Third Proportional to 11,466,521 and 24,261,170

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Solution

The third proportional to 11,466,521 and 24,261,170 is: 51,332,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466,521 : 24,261,170 = 24,261,170 : x
  2. Step 2: Convert to fraction form
    11,466,521/24,261,170 = 24,261,170/x
  3. Step 3: Cross multiply
    11,466,521x = 24,261,170 × 24,261,170
  4. Step 4: Simplify right side
    11,466,521x = 588,604,369,768,900
  5. Step 5: Solve for x
    x = 588,604,369,768,900/11,466,521
  6. Step 6: Final answer
    x = 51,332,428.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.