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Finding the Third Proportional to 21,086,954 and 46,040,564

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Solution

The third proportional to 21,086,954 and 46,040,564 is: 100,523,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086,954 : 46,040,564 = 46,040,564 : x
  2. Step 2: Convert to fraction form
    21,086,954/46,040,564 = 46,040,564/x
  3. Step 3: Cross multiply
    21,086,954x = 46,040,564 × 46,040,564
  4. Step 4: Simplify right side
    21,086,954x = 2,119,733,533,438,096
  5. Step 5: Solve for x
    x = 2,119,733,533,438,096/21,086,954
  6. Step 6: Final answer
    x = 100,523,457.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.