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Finding the Third Proportional to 21,521,046 and 46,441,876

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Solution

The third proportional to 21,521,046 and 46,441,876 is: 100,220,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521,046 : 46,441,876 = 46,441,876 : x
  2. Step 2: Convert to fraction form
    21,521,046/46,441,876 = 46,441,876/x
  3. Step 3: Cross multiply
    21,521,046x = 46,441,876 × 46,441,876
  4. Step 4: Simplify right side
    21,521,046x = 2,156,847,846,399,376
  5. Step 5: Solve for x
    x = 2,156,847,846,399,376/21,521,046
  6. Step 6: Final answer
    x = 100,220,400.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.