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Finding the Third Proportional to 5,271,984 and 11,510,760

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Solution

The third proportional to 5,271,984 and 11,510,760 is: 25,132,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271,984 : 11,510,760 = 11,510,760 : x
  2. Step 2: Convert to fraction form
    5,271,984/11,510,760 = 11,510,760/x
  3. Step 3: Cross multiply
    5,271,984x = 11,510,760 × 11,510,760
  4. Step 4: Simplify right side
    5,271,984x = 132,497,595,777,600
  5. Step 5: Solve for x
    x = 132,497,595,777,600/5,271,984
  6. Step 6: Final answer
    x = 25,132,397.17

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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.