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Finding the Third Proportional to 5,071,050 and 11,275,938

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Solution

The third proportional to 5,071,050 and 11,275,938 is: 25,073,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,050 : 11,275,938 = 11,275,938 : x
  2. Step 2: Convert to fraction form
    5,071,050/11,275,938 = 11,275,938/x
  3. Step 3: Cross multiply
    5,071,050x = 11,275,938 × 11,275,938
  4. Step 4: Simplify right side
    5,071,050x = 127,146,777,779,844
  5. Step 5: Solve for x
    x = 127,146,777,779,844/5,071,050
  6. Step 6: Final answer
    x = 25,073,067.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.