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Finding the Third Proportional to 5,250,278.25 and 11,396,862

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Solution

The third proportional to 5,250,278.25 and 11,396,862 is: 24,739,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250,278.25 : 11,396,862 = 11,396,862 : x
  2. Step 2: Convert to fraction form
    5,250,278.25/11,396,862 = 11,396,862/x
  3. Step 3: Cross multiply
    5,250,278.25x = 11,396,862 × 11,396,862
  4. Step 4: Simplify right side
    5,250,278.25x = 129,888,463,447,044
  5. Step 5: Solve for x
    x = 129,888,463,447,044/5,250,278.25
  6. Step 6: Final answer
    x = 24,739,348.52

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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.