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Finding the Third Proportional to 5,471,956 and 11,878,488

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Solution

The third proportional to 5,471,956 and 11,878,488 is: 25,785,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,956 : 11,878,488 = 11,878,488 : x
  2. Step 2: Convert to fraction form
    5,471,956/11,878,488 = 11,878,488/x
  3. Step 3: Cross multiply
    5,471,956x = 11,878,488 × 11,878,488
  4. Step 4: Simplify right side
    5,471,956x = 141,098,477,166,144
  5. Step 5: Solve for x
    x = 141,098,477,166,144/5,471,956
  6. Step 6: Final answer
    x = 25,785,747.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.