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Finding the Third Proportional to 21,971,974 and 32,171,401

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Solution

The third proportional to 21,971,974 and 32,171,401 is: 47,105,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971,974 : 32,171,401 = 32,171,401 : x
  2. Step 2: Convert to fraction form
    21,971,974/32,171,401 = 32,171,401/x
  3. Step 3: Cross multiply
    21,971,974x = 32,171,401 × 32,171,401
  4. Step 4: Simplify right side
    21,971,974x = 1,034,999,042,302,801
  5. Step 5: Solve for x
    x = 1,034,999,042,302,801/21,971,974
  6. Step 6: Final answer
    x = 47,105,419.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.