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Finding the Third Proportional to 22,039,471 and 51,465,749

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Solution

The third proportional to 22,039,471 and 51,465,749 is: 120,180,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039,471 : 51,465,749 = 51,465,749 : x
  2. Step 2: Convert to fraction form
    22,039,471/51,465,749 = 51,465,749/x
  3. Step 3: Cross multiply
    22,039,471x = 51,465,749 × 51,465,749
  4. Step 4: Simplify right side
    22,039,471x = 2,648,723,320,131,001
  5. Step 5: Solve for x
    x = 2,648,723,320,131,001/22,039,471
  6. Step 6: Final answer
    x = 120,180,893.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.